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
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.^[1]

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.

References