12496
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 26784
- Proper Divisor Sum (Aliquot Sum)
- 14288
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5600
- Möbius Function
- 0
- Radical
- 1562
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Sociable numbers: smallest member of each cycle (conjectured).at n=0A003416
- Coordination sequence for alpha-Mn, Position Mn1.at n=29A009950
- Coordination sequence for alpha-Mn, Position Mn3.at n=29A009952
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=67A011905
- Even heptagonal numbers (A000566).at n=35A014640
- Expansion of g.f. 1/((1-2*x)*(1-10*x)).at n=4A016134
- Expansion of 1/((1-6*x)*(1-8*x)).at n=4A016170
- a(n) = (2*n + 1)*(5*n + 1).at n=35A033571
- a(n) = n*(2*n+5)*(n-1)/6.at n=33A051925
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=32A063370
- Number of colorings of K_4 using at most n colors.at n=7A063842
- Centered 21-gonal numbers.at n=34A069178
- The 5-cycle of the n => sigma(n)-n process, where sigma(n) is the sum of divisors of n (A000203).at n=5A072891
- The 5-cycle of the n => sigma(n)-n process, where sigma(n) is the sum of divisors of n (A000203).at n=0A072891
- 7th binomial transform of (0,1,0,1,0,1,....), A000035.at n=5A081201
- Numbers n which when converted to base 5, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=11A091079
- Square array by antidiagonals of number of straight lines with n points in a k-dimensional hypercube with n points on each edge.at n=50A105373
- Sum of the areas of the Durfee squares of all partitions of n.at n=23A116503
- Conjectured list of sociable numbers.at n=0A122726
- Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0.at n=6A133251