5638
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8460
- Proper Divisor Sum (Aliquot Sum)
- 2822
- 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
- 2818
- Möbius Function
- 1
- Radical
- 5638
- Omega Function (Ω)
- 2
- 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
- 85
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T5 for Zeolite Code DDR.at n=47A008075
- Coordination sequence T1 for Zeolite Code MTT.at n=46A008189
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=37A020389
- 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=12A031572
- Molien series for 3-D group X1.at n=18A037240
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057040(n)=i(F(n)), where F(n) is the n-th Fibonacci number.at n=40A057040
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=49A063381
- Consecutive terms of A065966 which are also consecutive integers.at n=16A065976
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=17A089473
- Semiprimes a such that there exist three semiprimes b, c and d with a^3=b^3+c^3+d^3.at n=37A113490
- Number of 0's in the binary expansion of A127962(n).at n=26A127964
- Numbers n such that 10^n*(7+3*10^n)+3 is prime.at n=12A171655
- An INVERT sequence for A010054.at n=16A181649
- Semiprimes s such that phi(s)/2 is prime.at n=46A194593
- Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.at n=37A219965
- Number of Dyck paths of semilength n avoiding the pattern U^3 D^3 U D.at n=49A225690
- Number of (n+1) X (1+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=11A231337
- Number of palindromic partitions of n with greatest part of multiplicity 2.at n=52A238779
- Number of partitions p of n such that if h = min(p), then h is an (h,1)-separator of p; see Comments.at n=45A239497
- Number of partitions of n in which two summands (of each size) are designated.at n=21A255180