10050
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25296
- Proper Divisor Sum (Aliquot Sum)
- 15246
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 2010
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- Expansion of 1/((1-9*x)*(1-10*x)*(1-11*x)).at n=3A020982
- Numbers having three 0's in base 10.at n=22A043491
- Internal digits of n^2 include digits of n as subsequence.at n=35A046834
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048212.at n=23A048222
- Number of primitive (period n) periodic palindromes using a maximum of four different symbols.at n=11A056495
- Smallest of 4 consecutive numbers each divisible by a square.at n=16A070284
- Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259.at n=4A071320
- Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n.at n=10A090057
- G.f. A(x) satisfies both A(-x)*A(x) = A(x^2) and xA(x)^2 = B(xA(x^2)) where B(x) = x*(1+x)/(1-x).at n=22A091188
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=26A096973
- Triangle T, read by rows, where column k of T equals (k+1)*(column k of T^2) when shifted to have an initial '1'; i.e., T(n,k) = (k+1)*[T^2](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0.at n=40A123305
- Central terms of triangle A123305.at n=4A123311
- Roman numerals with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc., sorted in increasing order.at n=36A130228
- Numbers that require exactly five chisel strokes when written in Roman numerals.at n=35A133192
- Numbers such that the digital sum base 2 and the digital sum base 5 and the digital sum base 10 all are equal.at n=7A135125
- Numbers m that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (m raised to k+1 must not be a multiple). Case k=15.at n=1A135200
- Number of partitions of n into parts which are not digits of n in decimal representation.at n=53A136460
- Numbers k such that k and k^2 use only the digits 0, 1, 2 and 5.at n=37A136822
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 7.at n=45A136824
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 8.at n=46A136825