15264
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
- 44226
- Proper Divisor Sum (Aliquot Sum)
- 28962
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 318
- Omega Function (Ω)
- 8
- 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
- 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
- (n,3,8) difference families over Z_n.at n=6A011998
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=51A026055
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 61.at n=36A031559
- The array of A059578 read by antidiagonals in the 'up' direction.at n=48A059579
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=15A060676
- a(n) = 3*(n - 2)*(5*n -11).at n=32A060785
- Log of the q-exponential of x, e_q(x,q), evaluated at q=-x.at n=19A152399
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=36A153794
- Symmetrical triangle read by rows: T(n, k) = m*(T(n-1, k-1) + T(n-1, k)), where T(n, 1) = T(n, n) = n, and m = 2.at n=40A177696
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=27A179691
- Where records occur in A114183.at n=42A222194
- Number of (n+5)X7 0..1 matrices with each 6X6 subblock idempotent.at n=9A224571
- Number of partitions p of n containing floor((min(p) + max(p))/2) as a part.at n=40A238482
- Number of length n+2 0..2 arrays with no consecutive three elements summing to more than 2.at n=11A241608
- Number of 3-generalized Motzkin paths of length n with no level steps H=(3,0) at odd level.at n=19A257389
- First differences of A275315.at n=28A275066
- First differences of A275316.at n=28A275472
- Number of 1's in truth table for Boolean function x1 x2 x4 + x2 x3 x5 + ... + x{n-3} x{n-2} xn + x{n-2} x{n-1} x1 + x{n-1} xn x2 + xn x1 x3.at n=11A305381