5682
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11376
- Proper Divisor Sum (Aliquot Sum)
- 5694
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1892
- Möbius Function
- -1
- Radical
- 5682
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Numbers that are the sum of 5 positive 6th powers.at n=32A003361
- Number of protruded partitions of n with largest part at most 6.at n=13A005407
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=33A024860
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=30A026103
- T(2n-1,n-1), T given by A026692.at n=6A026696
- T(n,[ n/2 ]), T given by A026692.at n=13A026698
- 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 74.at n=15A031572
- Numbers k such that 75*2^k+1 is prime.at n=33A032387
- Offsets for the Atkin Partition Congruence theorem.at n=32A036492
- Number of basis partitions of n+49 with Durfee square size 7.at n=21A053802
- Triangle of increasing mobiles (circular rooted trees) with n nodes and k leaves.at n=38A055356
- Number of increasing mobiles (circular rooted trees) with n nodes and 3 leaves.at n=5A055357
- Number of independent dominating sets in labeled trees with n nodes.at n=5A058925
- Numbers which are the sum of their proper divisors containing the digit 4.at n=8A059463
- Binomial transform of (1,0,1,0,1,0,1,0,2,0,2,0,2,....).at n=13A084638
- Number of idempotent n X n (0,1) matrices over the reals.at n=5A086922
- a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 1, a(1) = 5, a(2) = 6.at n=22A105577
- Numbers k such that (2*k)!/k!-1 is prime.at n=12A112853
- Expansion of (1+x)c(x^2)/((1-xc(x^2))*sqrt(1-4x^2)), c(x) the g.f. of A000108.at n=12A117186
- Maximum number of unit squares aligned with unit-spaced horizontal lines that can be enclosed by a circle of radius n.at n=43A124484