5616
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
- 40
- Divisor Sum
- 17360
- Proper Divisor Sum (Aliquot Sum)
- 11744
- 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
- 78
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Orders of noncyclic simple groups (without repetition).at n=10A001034
- Order of universal Chevalley group A_n (3).at n=2A003787
- Order of (usually) simple Chevalley group A_n (3).at n=2A003793
- Order of universal Chevalley group A_2 (q), q = prime power.at n=1A003800
- Order of simple Chevalley group A_2(q), q = prime power.at n=1A003807
- Theta series of {E_6}* lattice.at n=20A005129
- Number of 2 X 2 matrices with entries mod n and nonzero determinant.at n=8A005353
- Number of 3 X 3 matrices whose determinant is 1 mod n.at n=2A011785
- Number of n X n matrices whose determinant is 1 mod n.at n=2A011788
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=42A020441
- a(n) = n*(11*n - 1)/2.at n=32A022268
- Theta series of A*_8 lattice.at n=28A023920
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=33A025413
- Numbers each of whose runs of digits in base 12 has length 2.at n=33A033010
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=30A033701
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=43A033701
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=26A035008
- Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=31A035984
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=22A037183
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=19A038852