14250
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
- 32
- Divisor Sum
- 37440
- Proper Divisor Sum (Aliquot Sum)
- 23190
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 570
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=37A007518
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=38A022871
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=32A065255
- Number of integer-sided pentagons having perimeter n.at n=48A124285
- 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, 0, 0), (0, 1, 0), (1, -1, -1), (1, 0, 1)}.at n=8A150009
- 5 times hexagonal numbers: 5*n*(2*n-1).at n=38A152745
- A recurrence relation conditioned on the primality of the preceding terms.at n=37A236768
- a(n) = 7*n^2 + 2*n - 15.at n=44A239796
- Number of partitions p of n such that (maximal multiplicity of the parts of p) > (number of distinct parts of p).at n=39A240309
- Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k)).at n=15A267004
- Indices of primes in A000712.at n=19A285217
- Number of 4-cycles in the n-polygon diagonal intersection graph.at n=27A300552
- Expansion of 1/2 * Product_{i>=0, j>=0, k>=0} (1 + x^(i^2 + j^2 + k^2)).at n=20A321381
- Number of pairs (p,q) of distinct partitions of n such that the set of parts in q is a subset of the set of parts in p.at n=19A369707