10152
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 18648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3312
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=15A032092
- Shifts left 2 places under "EFK" (unordered, size, unlabeled) transform.at n=20A032307
- Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.at n=13A057545
- Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).at n=26A064125
- Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A071667/A071668.at n=13A089878
- Third column (m=4) of array A090452.at n=15A090453
- Numbers that reach the fixed point 89 under iteration of f(x) = reverse(x) - maxdigit(x).at n=15A097155
- Numbers with at least two 3s in their prime signature.at n=24A109399
- a(n) = 2*n*(4*n-3).at n=36A139271
- Nine times hexagonal numbers: a(n) = 9*n*(2*n-1).at n=24A152994
- Number of 3 X 3 magilatin squares with positive values and magic sum n.at n=16A173549
- A symmetric triangle, with sum the large Schröder numbers.at n=39A175124
- A symmetric triangle, with sum the large Schröder numbers.at n=41A175124
- Quadruples a>b>c>d>0 such that six pairwise sums and the total sum are all squares.at n=2A175535
- Numbers of the form p^3*q^3*r where p, q, and r are prime.at n=16A179688
- a(n) = 4*n^2 + 3*n + 2.at n=50A185669
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=29A186394
- Number of n X 3 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=33A201272
- Number of 2 X 2 matrices having all terms in {1,...,n} and positive determinant.at n=11A211059
- Number of (w,x,y,z) with all terms in {0,...,n} and even range.at n=11A212889