14168
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
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 20392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 3542
- 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
- 58
- Smith Number
- yes
- 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) = 2*a(n-1) + 9*a(n-2), with a(0) = 0, a(1) = 1.at n=8A002534
- Theta series of A_7 lattice.at n=9A008447
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=23A011925
- a(n) = floor(n(n-1)(n-2)(n-3)/18).at n=24A011928
- Theta series of D*_23 lattice.at n=12A022076
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34.at n=6A031712
- A049031/2.at n=29A049032
- Fifth column (m=4) of (1,3)-Pascal triangle A095660.at n=20A095661
- Numbers k such that (j^k + k^j) == 0 (mod k+j), j=2 case.at n=7A114977
- If X_1, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n).at n=20A130809
- Triangle, read by rows, equal to the matrix 4th power of triangle A136220.at n=41A136232
- Numbers k such that A136675(k) is prime.at n=30A136683
- Triangle of f-vectors of the simplicial complexes dual to the permutohedra of type B_n.at n=23A145901
- The 3rd Witt transform of A000027.at n=22A147611
- a(n) = 49*n^2 + 7.at n=16A158481
- The third left hand column of triangle A167552.at n=9A167555
- Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=7*i and -7<p(i)-p(i-1)<=7.at n=4A180912
- T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k*i and -k<p(i+1)-p(i)<=k.at n=59A180915
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2737)^2 = y^2.at n=34A201916
- Number of ways to place 3 nonattacking semi-queens on an n X n board.at n=7A202654