14395
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 2885
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11512
- Möbius Function
- 1
- Radical
- 14395
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 71
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=104A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=116A008302
- Expansion of 1/((1-4x)(1-8x)(1-11x)(1-12x)).at n=3A028160
- Interprimes which are of the form s*prime, s=5.at n=31A075280
- Number of partitions of n such that the least part occurs with odd multiplicity.at n=37A096375
- Total number of parts in all compositions of n into distinct odd parts.at n=42A097936
- Multiplies by 2 and shifts right under the XOR BINOMIAL transform (A099901).at n=13A099902
- Stern-Jacobsthal numbers.at n=26A101624
- Number of forests of rooted trees with total weight n, where a node at height k has weight 2^k (with root considered to be at height 0).at n=39A115593
- a(n) = 25*n^2 - 5.at n=23A158446
- Number of reduced words of length n in the Weyl group A_8.at n=12A161456
- Number of reduced words of length n in the Weyl group A_8.at n=24A161456
- Smallest number with "natural" logarithm n, cf. A061373.at n=34A182061
- Expansion of f(-q)^10 / f(-q^5)^2 in power of q where f() is a Ramanujan theta function.at n=20A243939
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 326", based on the 5-celled von Neumann neighborhood.at n=13A281108
- Number of integer partitions of n whose LCM is less than n.at n=44A327781
- Number of regions in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts.at n=49A357196
- Number of equivalence classes of convex lattice polygons containing n lattice points, restricting the count to those polygons that are interior to another polygon.at n=44A377245