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Kumodraž is located in the central-eastern part of the municipality, in the lower section of the Kumodraž field (Kumodraško polje), in the valley of the creek of Kumodraški potok. Eastern and southern borders of the neighborhood are marked by a series of hills: Torlak, Golo Brdo, Stražarska Kosa, and the Kumodraž area is a source of many other creeks apart from the one that gave its name to the neighborhood: Rakovički potok (flows through the neighborhoods of Selo Rakovica and Rakovica), Lipica (Jajinci), Zavojnička reka (a tributary to the Bolečica river), Bubanj potok (flows through Bubanj Potok, also a tributary to the Bolečica), Kamena voda, etc. To the north, Kumodraž is bordered by the neighborhood of Voždovac, to the north-west by Veliki Mokri Lug and to the east by Jajinci.
Population of Kumodraž by the official censuses of population:
- 1921 - 1,321
- 1971 - 8,547
- 2002 - 13,004 (Kumodraž, 5,405; Kumodraž I, 3,631; Kumodraž II 3,968)
- 2011 - 13,343 (Kumodraž, 6,064; Kumodraž I, 3,852; Kumodraž II 3,427)
Kumodraž used to be a small, agricultural village far from downtown Belgrade, but after the 1960s the population boosted as it was case in almost all Belgrade's suburbs at the time. In the 1970s Kumodraž was administratively declared a local community ("mesna zajednica") within the municipality of Voždovac (part of the Belgrade City proper, uža teritorija grada), rather than being a separate settlement. Today, Kumodraž makes one continuous built up area, even though it is about 10 kilometers away from downtown. It is divided into several sub-neighborhoods: Kumodraž, Kumodraž I, Kumodraž II and Torlak.
One of the most important Serbian army leaders in modern history, vojvoda Stepa Stepanović, was born in Kumodraž in 1856 and his birthplace is turned into memorial-house dedicated to him, and the nearby woods is named Stepin Lug ("Stepa's grove"). In addition, the main street in Kumodraž is named Vojvode Stepe (though it begins much closer to downtown, at Autokomanda).
Central and western extension of the neighborhood, the core of the modern settlement of Kumodraž. It extends into Kumodraž II on the east, Kumodraž II on the north and Torlak on the north-west. Connected to Belgrade by the bus lines 33 and 39.
Northern extension of the neighborhood, which makes urban connection to the neighborhood of Voždovac is named Kumodraž II. It is a modern sub-neighborhood, located in the area marked by the elbow turn of the Kumodraška street and the street of Vojvode Stepe. It makes a direct extension of the Voždovac's industrial zone along the Kumodraška street. Connected to Belgrade by the bus line 25.
The entire western section of Kumodraž is a sub-neighborhood of Torlak. It was named after the 308 meters-high hill of Torlak, which was very important in the military operations for the defense of Belgrade in World War I. The Institute for pharmacology of Serbia and the Institute for immunobiology and virusology (vaccine manufacturer, popularly known as "Torlak") are located in the area.
- Popis stanovništva po mesnim zajednicama, Saopštenje 40/2002, page 4. Zavod za informatiku i statistiku grada Beograda. 26 July 2002.
- Stanovništvo po opštinama i mesnim zajednicama, Popis 2011. Grad Beograd – Sektor statistike (xls file). 23 April 2015.
- Mala Prosvetina Enciklopedija, First edition (1959), Vol.I; Prosveta;
- Beograd - plan grada; M@gic M@p, 2006; ISBN 86-83501-53-1