15204
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40768
- Proper Divisor Sum (Aliquot Sum)
- 25564
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 7602
- 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
- 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
- Number of unlabeled identity unit interval graphs.at n=14A005219
- 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 82.at n=30A031580
- Class numbers associated with entries of A094841.at n=29A094842
- Class numbers associated with the entries of A094843.at n=15A094844
- Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^7.at n=13A128171
- 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, 0, 0), (0, -1, 0), (0, 0, -1), (0, 1, 1), (1, 1, 1)}.at n=7A150983
- a(n) = (2*n^3 + 5*n^2 - 5*n)/2.at n=23A162265
- Values k: A165495(k) is odd.at n=44A165496
- Triangle read by rows: T(n,k) is the number of cycle-up-down permutations of {1,2,...,n} having k cycles (1<=k<=n).at n=39A186366
- Record (maximal) gaps between prime triples (p, p+2, p+6).at n=31A201598
- Number of binary increasing trees with n nodes and "min-path" of length 5.at n=8A212259
- Number of n X 2 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order.at n=5A223381
- Number of nX6 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order.at n=1A223385
- T(n,k)=Number of nXk 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order.at n=22A223387
- T(n,k)=Number of nXk 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order.at n=26A223387
- Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is not a part.at n=40A241411
- Least number k not divisible by 10 such that k^n contains n zeros.at n=20A241495
- G.f. A(x) satisfies: A(x) = A( x^2 + 8*x*A(x)^2 )^(1/2), with A(0)=0, A'(0)=1.at n=5A271935
- Number of Carlitz compositions c of n such that the sequence of ascents and descents of c forms a Dyck path.at n=23A304778
- Greatest integer whose square root is less than or equal to Sum_{j=0..n} sqrt(j).at n=32A338277