14960
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 40176
- Proper Divisor Sum (Aliquot Sum)
- 25216
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 1870
- 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
- 133
- 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
- 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=14A002419
- Nearest integer to exponential integral of n.at n=11A002460
- Number of trivalent planar loopless multigraphs with 2n nodes.at n=7A005966
- Weight distribution of hypothetical [ 68,34,12 ] code derived from hypothetical [ 72,36,16 ] doubly-even self-dual code.at n=7A018237
- Weight distribution of hypothetical [ 68,34,12 ] code derived from hypothetical [ 72,36,16 ] doubly-even self-dual code.at n=27A018237
- a(n) = n-th multiple of n with digit sum n.at n=19A082260
- a(n) = 3*n^3 + n^2 - 4*n.at n=17A083127
- a(n+1) is the least multiple of a(n) such that the digit reversal of the concatenation of the first n+1 terms is prime.at n=8A110746
- a(n) = A014486(A122241(n)).at n=4A122242
- a(n) = 5^n - 3^n + 2^n.at n=6A135159
- A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x^2/2]: P(x, n) = 2*x*P(x, n - 1) - n*P(x, n - 2) + 4*x^3*P(x, n - 3)-n^2*P(x, n - 4).at n=50A138092
- a(n) is the smallest positive integer k such that d(k) = d(k+2*n) = 2*n, where d(m) (A000005) is the number of positive divisors of m, or 0 if no such k exists.at n=19A139416
- Least common multiple of prime(n)-3 and prime(n)+3.at n=39A166011
- Number of 2-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=43A187287
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,4,0,0,1,0 for x=0,1,2,3,4,5,6.at n=5A198087
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+511)^2 = y^2.at n=20A207078
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208753; see the Formula section.at n=46A208754
- Number of (w,x,y) with all terms in {0,...,n} and w < range{w,x,y}.at n=32A212967
- Degrees of irreducible representations of orthogonal group O10-(2).at n=18A214475
- Define a sequence of real numbers by b(1)=e, b(n+1) = b(n) + log(b(n)); a(n) = smallest i such that b(i) >= e^n.at n=11A229171