16473
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24560
- Proper Divisor Sum (Aliquot Sum)
- 8087
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9792
- Möbius Function
- 0
- Radical
- 969
- 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
- 115
- 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
- no
- Odd
- yes
Appears in sequences
- 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).at n=16A002417
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=32A002624
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=22A045032
- Numbers k such that 2^k + 9 is prime.at n=45A057196
- Number of singular points on n-th order Chmutov surface.at n=34A057870
- a(n) = (p^2*(p+1)*(p+2))/6 where p is n-th prime.at n=6A098741
- Bisection of A002417.at n=8A100430
- Numbers n such that n^4 is a sum of 4th powers of four nonzero integers whose sum is n.at n=2A138760
- Partial sums of A006127, starting at n=1.at n=12A145070
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=31A158517
- Totally multiplicative sequence with a(p) = 8p+1 for prime p.at n=27A166666
- a(n) = n*(n+1)*(20*n-17)/6.at n=17A172117
- a(n) is the sum of all distinct integers that can be produced by reversing the digits of n in any base b >= 2.at n=54A211518
- Triangle T(n,k) giving the number of terms of A219666 which have n digits (A084558) in their factorial base expansion and whose most significant digit (A099563) in that base is k.at n=40A230420
- Triangle A230420 transposed.at n=40A230421
- Number of overpartitions of n minus the number of partitions of n.at n=23A230441
- a(n) = n*(n + 1)*(n + 2)*(3*n + 17)/24.at n=17A241765
- Number of length n+3 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=42A255994
- a(n) = n*(n+1)*(n+2)*(n^2+2*n+17)/120.at n=16A257199
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A258523