5643
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 3957
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 627
- Omega Function (Ω)
- 5
- 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
- 85
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f. sinh(sin(x))*exp(x).at n=11A009590
- a(n) = (n+2)*(n+1)*(n^2 + 7*n - 12)/24.at n=16A014309
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite EAB = TMA-E (Aiello and Barrer)(1) (Me4N)2Na7[Al9Si27O7] starting with a T2 atom.at n=5A019010
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=32A024842
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=34A024974
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=33A025400
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027144.at n=9A027151
- Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=29A031175
- 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 75.at n=2A031573
- "AGK" (ordered, elements, unlabeled) transform of 2,1,1,1,...at n=18A032024
- Numbers whose set of base-12 digits is {2,3}.at n=27A032812
- One third of octo-factorial numbers.at n=3A034909
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.at n=4A037601
- Numbers k such that 165*2^k-1 is prime.at n=45A050834
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=27A051870
- Number of asymmetric (identity) trees with n nodes and 5 leaves.at n=12A055336
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n.at n=24A057257
- Numbers k such that (k, phi(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + phi(k)^2 is a square.at n=44A066763
- Numbers n such that (A006530(n) + A020639(n))/2 is an integer, divides n and it is not a power of prime number: it has at least 2 distinct prime factors. Special terms of A088948.at n=39A088595
- a(n) = round(n^3/12) - floor(n/4)*floor((n+2)/4).at n=41A090676