15102
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
- 12
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 17658
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5028
- Möbius Function
- 0
- Radical
- 5034
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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
- Numerators of continued fraction convergents to sqrt(286).at n=6A041538
- Numerators of continued fraction convergents to sqrt(815).at n=8A042572
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=18A045152
- Numbers which are the sum of their proper divisors containing the digit 5.at n=18A059464
- Triangle read by rows: T(n,k) is the number of ternary words of length n containing k 012's (n >= 0, 0 <= k <= floor(n/3)).at n=23A119851
- Number of ternary words with exactly one 012.at n=10A119852
- Divisors of 453060.at n=34A134950
- a(n) = 839*n.at n=18A135639
- Column 0 of the matrix square of triangle A152391.at n=6A152395
- Number of 3 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal.at n=26A224134
- (2^(p-1) modulo p^2) + (3^(p-1) modulo p^2), where p = prime(n).at n=35A240987
- Numbers k such that A084937(3k) > A084937(3k+1).at n=37A249689
- Numbers k such that 64^k - 8^k - 1 is prime.at n=17A265486
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 150", based on the 5-celled von Neumann neighborhood.at n=38A270323
- Expansion of g.f. A(x) satisfying A(x)^2 = A( x*A(x) + 3*x*A(x)^2 ).at n=6A372534