15895
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22104
- Proper Divisor Sum (Aliquot Sum)
- 6209
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10880
- Möbius Function
- 0
- Radical
- 935
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (1/24)*(n+1)*(n+3)*(n^2+22*n+88).at n=20A090950
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>1.at n=16A211622
- Conjectured lower bounds for the Riemann hypothesis function floor(H(k) + exp(H(k))*log(H(k))) - sigma(k).at n=19A222761
- Number of 6-line partitions of n (i.e., planar partitions of n with at most 6 lines).at n=17A225196
- 7-distance Pell sequence.at n=44A237716
- Number of partitions p of n such that the number of distinct parts is a part and max(p) - min(p) is a part.at n=49A241387
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 165", based on the 5-celled von Neumann neighborhood.at n=28A270459
- Necklace Catalan numbers.at n=10A291292
- Expansion of ogf(x, t) = u / (6*x - t*x*u - 2) with u = x*(2*x - 2*y + 8) + y - 3 and y = sqrt(1 - 4*x). Triangle read by rows: T(n, k) with 0 <= k <= n.at n=65A320902
- Numbers k such that 399*2^k+1 is prime.at n=28A323044
- Sum of the fifth largest parts of the partitions of n into 9 parts.at n=42A326469
- a(n) = A010575(n)/8 for n>0.at n=5A366925
- Numbers k such that k^3*2^k - 1 is a prime.at n=9A367037
- a(n) is the number of 132-avoiding permutations p so that p^3 is the identity permutation.at n=17A370686