15372
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 45136
- Proper Divisor Sum (Aliquot Sum)
- 29764
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2562
- Omega Function (Ω)
- 6
- 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
- 146
- 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 lines through exactly 2 points of an n X n grid of points.at n=17A018809
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(5).at n=36A022770
- Denominators of continued fraction convergents to sqrt(60).at n=11A041105
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=11A045084
- Jordan function J_3(n).at n=25A059376
- Multiplicative with a(p^e) = 1 - p^3.at n=25A063453
- Square array, read by antidiagonals, where rows are successive self-convolutions of the top row, which equals A003169 shifted one place right.at n=42A100324
- Triangle read by rows: numbers of isomers of unbranched a-4-catapolynonagons.at n=50A120650
- Expansion of q*psi(q^9)/psi(q) in powers of q.at n=50A124243
- Expansion of (1/3) * (c(q^2)^2 / c(q)) / (b(q^2)^2 / b(q)) in powers of q where b(), c() are cubic AGM theta functions.at n=16A128640
- Integers n > 1 such that A130280(4n^2) < n, i.e., there is an m < n, m > 1 such that 4n^2(m^2 - 1) + 1 is a square.at n=17A130281
- Triangle read by rows: (1/4) * (A007318^3 - A007318^(-1)) as infinite lower triangular matrices.at n=50A131049
- Expansion of f(-x, -x^5) * f(-x^6) / f(-x)^2 in powers of x where f(, ) and f() are Ramanujan theta functions.at n=25A132302
- Expansion of q * psi(-q^9) / psi(-q) in powers of q where psi() is a Ramanujan theta function.at n=50A132975
- Eigentriangle, row sums = A144251 shifted, right border = A144251.at n=33A144252
- Row sums of A154685.at n=23A151675
- Indices k such that 22 plus the k-th triangular number is a perfect square.at n=9A154149
- a(n) = 16*n^2 - 4.at n=30A158443
- Expansion of c(-q) * c(-q^3) / c(q^2)^2 in powers of q where c() is a cubic AGM theta function.at n=51A164616
- Expansion of (phi^3(q^3) / phi(q)) * (psi(-q^3) / psi^3(-q)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=17A164617