15260
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36960
- Proper Divisor Sum (Aliquot Sum)
- 21700
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 7630
- Omega Function (Ω)
- 5
- 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
- 177
- 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
- Powers of fifth root of 17 rounded up.at n=17A018164
- Largest coefficient in expansion of Product_{i=1..n} (1 + (-q)^i).at n=19A039828
- a(n) = a(n-1) + floor(a(n-2)/2) with a(0)=1, a(1)=2.at n=31A064324
- Next-to-middle coefficient in expansion of Product_{k=1..n} (1 + x^k).at n=19A068202
- Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly five ways.at n=6A076458
- Number of solutions to +- 1 +- 2 +- .. +- n = 2.at n=20A113036
- Number of base 12 circular n-digit numbers with adjacent digits differing by 8 or less.at n=4A125447
- Numbers with ordered partitions that have periods of length 5.at n=34A178572
- Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237923
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A237927
- a(n) = floor((10*n^3 + 57*n^2 + 102*n + 72) / 72).at n=46A254875
- p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S - S^2 + S^3.at n=8A291411
- G.f. = Phi^2*F^4, where Phi = g.f. for A028930, F = g.f. for A028959.at n=13A328535
- Diagonal of rational function 1/(1 - (1 + x*y) * (x^3 + y^3)).at n=17A361727
- Expansion of (Product_{k>=1} (1 - x^k)^2/(1 - 5*x^k + x^(2*k)) - 1)/3.at n=6A387017
- a(n) is the number of 4 element sets of distinct integer sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units.at n=42A389392