12700
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 27776
- Proper Divisor Sum (Aliquot Sum)
- 15076
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 1270
- Omega Function (Ω)
- 5
- 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
- 200
- 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
- Weight distribution of [50,22,7] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=15A015066
- Weight distribution of [50,22,7] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=35A015066
- a(n) = floor( Gamma(n+5/8)/Gamma(5/8) ).at n=8A020071
- Triangle read by rows: cube of the lower triangular mean matrix.at n=26A027447
- Second diagonal of A027447.at n=5A027452
- a(n) is the starting position of the first occurrence of a string of at least n 1's in the decimal expansion of Pi.at n=3A035117
- Numbers having four 4's in base 6.at n=28A043388
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=12A050209
- Starting positions of strings of four 1's in the decimal expansion of Pi.at n=0A083602
- Index of first occurrence of exactly n consecutive '1's in a row in the decimal expansion of Pi.at n=3A096755
- Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n.at n=4A110375
- Sum of the squares of the first n squarefree numbers.at n=25A111715
- 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, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150841
- a(n) = n*(n+1)*(5*n+7)/6.at n=24A162148
- Number of nX2 nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once).at n=4A203020
- T(n,k)=Number of nXk nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once).at n=16A203022
- T(n,k)=Number of nXk nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once).at n=19A203022
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2.at n=29A209984
- Number of partitions p of n such that exactly one number is in both p and its conjugate.at n=42A240675
- Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 3.at n=21A244457