10474
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15714
- Proper Divisor Sum (Aliquot Sum)
- 5240
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5236
- Möbius Function
- 1
- Radical
- 10474
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=37A035953
- Coefficients of the '6th-order' mock theta function 2 mu(q).at n=47A053273
- a(n) = Sum_{k=1..n} phi(k)^2.at n=40A057434
- Matrix product of unsigned Lah-triangle |A008297(n,k)| and unsigned Stirling1-triangle |A008275(n,k)|.at n=16A079638
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=35A096926
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=44A113748
- Exponential Riordan array [1, log((1-x)/(1-2x))].at n=23A131222
- 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, 1, -1), (0, 1, 0), (1, -1, 0)}.at n=10A148188
- Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 4,3 4,4 5,3 5,4 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155424
- Partials sums of A001694.at n=42A174172
- G.f. satisfies: A(x) = Sum_{n>=0} x^(n(n+1)/2) * (A(x) + x)^n.at n=13A177487
- Number of length n left factors of Dyck paths having no triple-rises (triple-rise = three consecutive (1,1)-steps).at n=21A191786
- a(n) = 13*n^2 - 16*n + 5.at n=29A202141
- Composites whose prime factorization in base 6 is an anagram of the number in base 6.at n=32A260050
- Number of nX4 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=5A281076
- Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=3A281078
- T(n,k) = Number of n X k 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=39A281080
- T(n,k) = Number of n X k 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=41A281080
- a(n) = 2*n^3 - 4*n^2 + 6*n - 2 (n>=1).at n=17A304159