15092
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 18508
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- 0
- Radical
- 154
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=42A000297
- Numbers k such that phi(k) | sigma_14(k).at n=21A015773
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*11^j.at n=11A038277
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*7^j.at n=13A038321
- Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.at n=28A058053
- Non-palindromic solutions to sigma(R(n)) = sigma(n), where R = A004086 is digit-reversal.at n=10A085329
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 63 for n > 0.at n=18A102007
- Number of partitions of n which represent first player winning Chomp positions with multiple winning moves.at n=38A112473
- a(n) = (2*n + 1)*(5*n + 6).at n=38A153127
- Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted.at n=30A166537
- Totally multiplicative sequence with a(p) = 7p for prime p.at n=43A166628
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.at n=39A211145
- a(n) = Sum_{i=0..n} digsum_4(i)^4, where digsum_4(i) = A053737(i).at n=39A231667
- G.f.: Sum_{n>=0} x^n * Product_{k=1..n} (1 - x^(n+k))/(1 - x^k).at n=38A260894
- Number of distinct products i*j*k*l*m for 1 <= i <= j <= k <= l <= m <= n.at n=23A284988
- Partial sums of A294629.at n=24A294630
- Expansion of Product_{k>=1} ((1 + x^k)/(1 - x^k))^(sigma_2(k)).at n=8A301556
- Number of subsets of {1..n} not containing their mean.at n=14A327471
- Numbers that are the sum of seven fourth powers in five or more ways.at n=38A345571
- Numbers that are the sum of seven fourth powers in exactly five ways.at n=37A345827