10125
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
- 20
- Divisor Sum
- 18876
- Proper Divisor Sum (Aliquot Sum)
- 8751
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5400
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 7
- 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
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Generalized Euler phi function (for p=2).at n=14A003473
- Numbers of the form 3^i*5^j with i, j >= 0.at n=31A003593
- Fibonacci numbers written in base 8.at n=19A004691
- Denominator of sum of -3rd powers of divisors of n.at n=44A017670
- Numbers of form 5^i*9^j, with i, j >= 0.at n=17A025624
- a(n) = 225*(n-1)*(n-2)/2.at n=8A027470
- a(n) = 5*n^2.at n=45A033429
- Numbers whose prime factors are 3 and 5.at n=17A033849
- Numbers whose base-10 representation has exactly 5 runs.at n=13A043641
- a(1)=8; if n = Product p_i^e_i, n > 1, then a(n) = Product p_{i+1}^{e_i+2}.at n=11A045971
- Odd numbers divisible by exactly 7 primes (counted with multiplicity).at n=7A046320
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=31A046347
- Composites c whose decimal expansion ends with its largest prime factor.at n=28A050693
- Expansion of (1-x^3)/(1-x-x^2-x^3+x^5).at n=17A052972
- Numbers k such that k | 5^k + 4^k + 3^k + 2^k + 1^k.at n=38A056741
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=40A056754
- Numbers n such that n | 6^n + 5^n + 4^n.at n=39A057235
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n.at n=45A057242
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n.at n=41A057251
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n.at n=40A057289