126 (number)

126 (one hundred [and] twenty-six) is the natural number following 125 and preceding 127.

← 125 127 → 126
← 120 121 122 123 124 125 126 127 128 129 → List of numbers — Integers ← 100 110 120 130 140 150 160 170 180 190 →
Cardinal	one hundred [and] twenty-six
Ordinal	126th (one hundred [and] twenty-sixth)
Numeral system	126
Factorization	$2 \cdot 3^2 \cdot 7$
Divisors	1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Roman numeral	CXXVI
Binary	11111102
Octal	1768
Duodecimal	A612
Hexadecimal	7E16

In mathematics

One hundred [and] twenty-six is a pentagonal pyramidal number, and a decagonal number as well as a pentatope number.

It is an abundant number. However, it is the fifth Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.

125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

In base 10, it is a Harshad number as well as a Friedman number, since 126 = 6 × 21.

On the standard 3x3 Rubik's Cube, starting from the original set position, the basic algorithm of alternating top rotation- side rotation will return the cube to its original state in 126 moves.

In other fields

126 is also:

• The atomic number of unbihexium, an element that has not yet been discovered.
• 126 is the seventh magic number in nuclear physics (2, 8, 20, 28, 50, 82, 126)
• 126 film photographic film "cartridge" format
  • 126 film (roll format), another type of photographic film produced from 1906 to 1949.

See also

• 126th (disambiguation)
• The year AD 126 or 126 BC
• 126 AH is a year in the Islamic calendar that corresponds to 743 – 744 CE
• 126 Velleda is a Main belt asteroid
• List of highways numbered 126
• United Nations Security Council Resolution 126
• The 126th General Assembly of Ohio, 2005–2006
• Sonnet 126 by William Shakespeare
• Gilgamesh reigned for 126 years according to the Sumerian king list.