12825
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
- 24
- Divisor Sum
- 24800
- Proper Divisor Sum (Aliquot Sum)
- 11975
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 285
- 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
- 50
- 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) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=29A011934
- Odd 10-gonal (or decagonal) numbers.at n=28A028993
- Decimal part of n^(1/11) starts with a 'nine digits' anagram.at n=1A034286
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0.at n=4A037664
- a(n) = n^2*(n^2+3)/4.at n=14A039623
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=37A045947
- Partial sums of second pentagonal numbers with even index (A049453).at n=18A051895
- a(n) = Product_{k|n} (n+1-k).at n=26A056819
- a(n) = A064835(n)/2.at n=18A064836
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=34A081384
- Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges in which the leftmost child of the root has degree k.at n=40A101401
- a(n) = n*(n+1)*(n^2 + 21*n + 50)/24.at n=18A101854
- Number of divisors of 240^n.at n=14A103532
- a(n) = (n+1)^2 * (n+2)^2 * (2*n+3) / 12.at n=8A108674
- Triangle of number of partitions that fit in an n X n box (but not in an (n-1) X (n-1) box) with Durfee square k.at n=57A116647
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=29A125017
- Numbers of the form 56+p^2 (where p is a prime).at n=29A138690
- 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), (-1, 1, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149544
- 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, 1), (0, 0, -1), (0, 1, 0), (1, 0, 1)}.at n=8A150002
- Records in A153004.at n=47A153838