# 5000 (number)

 ← 4999 5000 5001 →
Cardinalfive thousand
Ordinal5000th
(five thousandth)
Factorization23× 54
Greek numeral,Ε´
Roman numeralV
Unicode symbol(s)V, v, ↁ
Binary10011100010002
Ternary202120123
Quaternary10320204
Quinary1300005
Senary350526
Octal116108
Duodecimal2A8812
VigesimalCA020
Base 363UW36

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.

## Selected numbers in the range 5001–5999

### 5200 to 5299

• 5226nonagonal number[8]
• 5231 – Sophie Germain prime
• 5244 – 222 + 232 + … + 292 = 202 + 212 + … + 282
• 5249highly cototient number[9]
• 5253 – triangular number
• 5279 – Sophie Germain prime, 700th prime number
• 5280 is the number of feet in a mile. It is divisible by three, yielding exactly 1760 yards per mile and by 16.5, yielding exactly 320 rods per mile.
• 5280 is connected with both Klein's J-invariant and the Heegner numbers. Specifically
${\displaystyle 5280=-{\sqrt[{3}]{j\left({\scriptstyle {\frac {1}{2}}}\left(1+i{\sqrt {67}}\,\right)\right)}}.}$

### 5600 to 5699

• 5623super-prime
• 5625 – 752, centered octagonal number[2]
• 5639 – Sophie Germain prime, safe prime
• 5651super-prime
• 5659 – happy number, completes the eleventh prime quadruplet set
• 5662 – decagonal number[4]
• 5671 – triangular number

### 5800 to 5899

• 5801super-prime
• 5807 – safe prime, balanced prime
• 5832 – 183
• 5842 – member of the Padovan sequence[24]
• 5849 – Sophie Germain prime
• 5869super-prime
• 5879 – safe prime, highly cototient number[9]
• 5886 – triangular number

### 5900 to 5999

• 5903 – Sophie Germain prime
• 5913 – sum of the first seven factorials
• 5927 – safe prime
• 5929 – 772, centered octagonal number[2]
• 5939 – safe prime
• 5967 – decagonal number[4]
• 5984 – tetrahedral number[12]
• 5995 – triangular number

## References

1. ^ "Sloane's A088054 : Factorial primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
2. ^ a b c d "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
3. ^ a b "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
4. ^ a b c d "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
5. "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
6. ^ a b "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
7. ^ a b c "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
8. ^ a b c "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
9. ^ a b c "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
10. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
11. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
12. ^ a b "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
13. ^ "Sloane's A050217 : Super-Poulet numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
14. ^ "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
15. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
16. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
17. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
18. ^ "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
19. ^ "Sloane's A006972 : Lucas-Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
20. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
21. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
22. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
23. ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
24. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.