4256
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 5824
- 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
- 1728
- Möbius Function
- 0
- Radical
- 266
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 33
- 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
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=38A000567
- Expansion of Product_{k>=1} (1 - x^k)^12.at n=15A000735
- Coordination sequence T4 for Zeolite Code TON.at n=40A008244
- Coordination sequence T2 for Zeolite Code CON.at n=46A009869
- exp(cosh(x)*arctanh(x)) = 1+x+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...at n=7A012773
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=19A014642
- Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+x^4+x^5+x^6)*A(x) + 1 =0.at n=18A023423
- a(n) = (prime(n+2)^2 - 1)/3.at n=27A024700
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (composite numbers).at n=17A025091
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=11A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=11A025413
- a(n) = (prime(n)-1)*(prime(n)-5)/12.at n=47A030006
- 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 31.at n=23A031529
- Denominators of continued fraction convergents to sqrt(556).at n=11A042065
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=10A045059
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=26A045850
- a(n) is the number of nonseparable planar maps with 2*n+1 edges and a fixed outer face of 4 edges which are invariant under a rotation of a 1/2 turn. (Column 2 of A091665.)at n=5A046649
- Triangle of rooted planar maps, read by rows.at n=26A046652
- Numbers that divide the sum of cubes of their divisors.at n=23A046763
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= n/3.at n=23A047197