124 (number)

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← 123 124 125 →
Cardinal one hundred twenty-four
Ordinal 124th
(one hundred twenty-fourth)
Factorization 22 × 31
Divisors 1, 2, 4, 31, 62, 124
Greek numeral ΡΚΔ´
Roman numeral CXXIV, cxxiv
Binary 11111002
Ternary 111213
Senary 3246
Octal 1748
Duodecimal A412
Hexadecimal 7C16

124 (one hundred [and] twenty-four) is the natural number following 123 and preceding 125.

In mathematics

124 magnetic balls arranged into the shape of a stella octangula StellaOctangulaNumber.jpg
124 magnetic balls arranged into the shape of a stella octangula

124 is an untouchable number, meaning that it is not the sum of proper divisors of any positive number. [1]

It is a stella octangula number, the number of spheres packed in the shape of a stellated octahedron. [2] It is also an icosahedral number. [3]

There are 124 different polygons of length 12 formed by edges of the integer lattice, counting two polygons as the same only when one is a translated copy of the other. [4]

124 is a perfectly partitioned number, meaning that it divides the number of partitions of 124. It is the first number to do so after 1, 2, and 3. [5]

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA005114(Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA007588(Stella octangula numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA006564(Icosahedral numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA002931(Number of self-avoiding polygons of length 2n on square lattice (not allowing rotations))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA051177(Perfectly partitioned numbers: numbers k that divide the number of partitions p(k))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.


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