6272
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14535
- Proper Divisor Sum (Aliquot Sum)
- 8263
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 9
- 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
- 31
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=31A001486
- a(n) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1.at n=30A003269
- Generalized Euler phi function (for p=2).at n=13A003473
- Numbers of form 2^i*7^j, with i, j >= 0.at n=37A003591
- Duplicate of A006253.at n=7A003697
- Degrees of irreducible representations of Held group He.at n=14A003912
- Number of perfect matchings (or domino tilings) in C_4 X P_n.at n=7A006253
- a(n) = 2^n*n^2.at n=7A007758
- Integers of the form Product p_j^k_j = Product k_j^p_j; p_j in A000040.at n=9A008478
- Expansion of sinh(tanh(log(1+x))).at n=8A009614
- Expansion of (1-x)/(1-x-x^4).at n=33A017898
- Droll numbers: numbers > 1 whose sum of even prime factors equals the sum of odd prime factors.at n=7A019507
- a(n) = 3rd elementary symmetric function of C(n,0), C(n,1), ..., C(n,[ n/2 ]).at n=3A025137
- a(n) = floor(n/2)-th elementary symmetric function of C(n,0), C(n,1), ..., C(n, floor(n/2)).at n=7A025140
- Number of perfect matchings in graph P_{2} X P_{7} X P_{n}.at n=2A028451
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=39A028620
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 39.at n=21A031537
- Numbers whose prime factors are 2 and 7.at n=20A033847
- Consider the sequence of 4-tuples {0,a,b,c} (c>=a+b; a,b,c>0) which have the smallest integer 'c' required to reach {k,k,k,k} in n steps under map {r,s,t,u}->{|r-s|,|s-t|,|t-u|,|u-r|}. This sequence gives the third term 'b' of these quadruples.at n=24A034804
- Coordination sequence for lattice D*_56 (with edges defined by l_1 norm = 1).at n=2A035813