14760
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 49140
- Proper Divisor Sum (Aliquot Sum)
- 34380
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 1230
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- Theta series of E_6 lattice.at n=16A004007
- Theta series of {E_6}* lattice.at n=48A005129
- Compressibility of hard-hexagon lattice gas model.at n=10A007236
- Numbers whose maximal base-9 run length is 4.at n=26A037999
- Numbers having four 2's in base 9.at n=8A043464
- Saint-Exupéry numbers: ordered products of the three sides of Pythagorean triangles.at n=11A057096
- Numbers k such that sigma (x) = k has exactly 11 solutions.at n=17A060678
- Ordered products of the sides of primitive Pythagorean triangles.at n=5A063011
- 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=38A065255
- Engel expansion of sinh(1/3).at n=20A068380
- First differences of A069475, successive differences of (n+1)^6-n^6.at n=18A069476
- Smallest multiple of n with a prime signature different from all previous terms.at n=40A069875
- Trisection of A007294.at n=37A073470
- Triangle T(n,k) read by rows, where o.g.f. for T(n,k) is n!*Sum_{k=0..n} (1+x)^(n-k)/k!.at n=25A073474
- Binomial transform of reflected pentanacci numbers A074062: a(n) = Sum_{k=0..n} binomial(n,k)*A074062(k).at n=17A074825
- Fourth column of (1,5)-Pascal triangle A096940.at n=39A096941
- Triangle read by rows: T(n,k) is the number of 0-1-2 trees (i.e., ordered trees with all vertices of outdegree at most two) with n edges and k pairs of adjacent vertices of outdegree 2.at n=48A126218
- Triangle read by rows: (1/4) * (A007318^3 - A007318^(-1)) as infinite lower triangular matrices.at n=37A131049
- Number of 5-way intersections in the interior of a regular 6n-gon.at n=40A137939
- a(0)=360, a(n)=a(n-1)+720 for n>=1.at n=20A140801