14280
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 51840
- Proper Divisor Sum (Aliquot Sum)
- 37560
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 3570
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 5
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Number of n-step self-avoiding walks on cubic lattice ending at point with x=1.at n=6A000760
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=40A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=40A002706
- Number of square permutations of n elements.at n=8A003483
- a(n) = 2*binomial(n,3).at n=36A007290
- arctan(tanh(x)*arcsinh(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+14280/8!*x^8...at n=3A012695
- Expansion of e.g.f. arcsin(arctanh(x) * exp(x)).at n=7A012711
- 2nd Euler polynomial x^2 - x evaluated at x=n!.at n=5A020547
- Theta series of A_16 lattice.at n=2A023907
- Theta series of A*_16 lattice.at n=34A023928
- Perimeters of more than one primitive Pythagorean triangle.at n=22A024408
- a(n) = d(n)/2, where d = A026040.at n=41A026041
- Numbers k such that 157*2^k+1 is prime.at n=12A032455
- a(n) = n*(n+1)*(n+2)*(n+3)/4.at n=14A033487
- a(n) = 4*n*(2*n + 1).at n=42A033586
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=28A045946
- a(n) in base 13 is a repdigit.at n=42A048337
- There are exactly n integer-sided triangles of area a(n).at n=19A051586
- Expansion of e.g.f. log(-1/(-1+x))^4*x.at n=7A052770
- Triangle of congrua: T(n,k) = 4*n*k(n^2-k^2) with n>k>0 and starting at T(2,1) = 24. A055096(n)^2 + a(n) is a square, as is A055096(n)^2 - a(n).at n=42A057103