15800
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
- 37200
- Proper Divisor Sum (Aliquot Sum)
- 21400
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- 0
- Radical
- 790
- 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
- Powers of fifth root of 3 rounded down.at n=44A018120
- Powers of fifth root of 3 rounded to nearest integer.at n=44A018121
- Powers of fifth root of 9 rounded down.at n=22A018138
- Powers of fifth root of 9 rounded to nearest integer.at n=22A018139
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RSN = RUB-17 K4Na12[Zn8Si28O72].18H2O starting with a T4 atom.at n=13A019218
- Revert transform of x*(1 + 2*x)/(1 + 3*x + x^2).at n=19A049122
- Numbers n such that n | (sigma_5(n) - phi(n)^5).at n=22A055699
- Numbers n such that n | sigma_13(n).at n=27A055717
- Numbers k such that 7*2^k - 3 is prime.at n=33A058593
- Numbers k such that usigma(k) = phi(k)*omega(k), where omega(k) is the number of distinct prime divisors of k.at n=12A063795
- a(n) = 100^[n/10] + 2*n*10^[n/10]: inspired by Engel expansion of Pi.at n=29A137507
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (0, 1, -1), (1, -1, 1)}.at n=10A148167
- Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A238149
- T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A238155
- Number T(n,k) of collections of nonempty multisets with a total of n objects of exactly k colors; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=40A255903
- Number of collections of nonempty multisets with a total of 2n objects of exactly n colors.at n=4A255907
- Number of collections of nonempty multisets with a total of n objects of exactly four colors.at n=4A255944
- Number of collections of nonempty multisets with a total of n+4 objects of exactly n colors.at n=4A255954
- 30-gonal pyramidal numbers: a(n) = n*(n+1)*(28*n-25)/6.at n=15A256650
- Left inverse of A277558.at n=49A277578