15200
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 39060
- Proper Divisor Sum (Aliquot Sum)
- 23860
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 190
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- 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=33A031559
- Number of possible rook moves on an n X n chessboard.at n=19A035006
- Numbers n whose sum of divisors and number of divisors are both triangular numbers.at n=37A070996
- Convolution of odd primes with themselves.at n=19A084370
- Rectangular table where column k equals row sums of matrix power A078122^k, read by antidiagonals.at n=40A125800
- Column 4 of table A125800; also equals row sums of matrix power A078122^4.at n=4A125802
- Main diagonal of table A125800.at n=4A125804
- Number of partitions of n into "number of partitions of n into partition numbers" numbers.at n=49A130898
- a(n) = 5*p^5 - 3*p^3 - 2*p^2, where p = prime(n).at n=2A133061
- a(n) = 5*n^5 - 3*n^3 - 2*n^2.at n=5A134630
- a(n) = 100^[n/10] + 2*n*10^[n/10]: inspired by Engel expansion of Pi.at n=26A137507
- Antidiagonal sums of the triangle A120070.at n=37A143785
- 10 times pentagonal numbers: a(n) = 5*n*(3*n-1).at n=32A153780
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=26A179691
- Consider 1-D random walk with jumps up to the fourth neighbor, i.e., set of possible jumps is {-4,-3,-2,-1,+1,+2,+3,+4}. Sequence gives number of paths of length n ending at origin.at n=6A181072
- Expansion of g.f.: exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^(n+k) * x^k] * x^n/n ).at n=6A181082
- Number of n X 3 binary arrays without the pattern 1 1 0 diagonally or antidiagonally.at n=4A189105
- T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally or antidiagonally.at n=25A189111
- Number of 5Xn binary arrays without the pattern 1 1 0 diagonally or antidiagonally.at n=2A189113
- Number of collections of nonempty multisets with a total of n objects having color set {1,...,k} for some k<=n.at n=7A255906