10644
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24864
- Proper Divisor Sum (Aliquot Sum)
- 14220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3544
- Möbius Function
- 0
- Radical
- 5322
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Absolute value of Glaisher's alpha(n).at n=21A002290
- From expansion of falling factorials.at n=10A005492
- a(n) = position of 3*n^3 in A003072.at n=31A024970
- Inverse binomial transform of a_0 = 1, a_1, a_2, etc. is a_0, 0, a_1, 0, a_2, 0, etc.at n=12A027826
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=20A030653
- E.g.f.: log((1-x)/(1-2*x))*x/(1-x).at n=6A052861
- Third binomial transform of binomial(n+4, 4).at n=5A081899
- Least number k such that k! in binary representation contains a run of exactly n consecutive ones.at n=24A094009
- Female of (1/(n+1),n/(1+n)) pair function used to get a dual population Fibonacci.at n=22A100582
- Column 11 of table A105552.at n=14A110554
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150742
- In those partitions of n with every part >=3, the total number of parts (counted with multiplicity).at n=40A177739
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n+2.at n=36A210374
- a(n) = 3*a(n-2) - a(n-3), with a(0)=0, a(1)=-3, and a(2)=6.at n=14A215666
- Number of idempotent 4X4 0..n matrices of rank 3.at n=9A224335
- Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p).at n=34A239954
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood.at n=23A270636
- Numbers that are the sum of nine fourth powers in eight or more ways.at n=32A345592
- Numbers that are the sum of nine fourth powers in exactly eight ways.at n=29A345850
- T(n,k) is the number of bounded regions in B(k, n) (see link).at n=23A363907