5168
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 5992
- 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
- 2304
- Möbius Function
- 0
- Radical
- 646
- Omega Function (Ω)
- 6
- 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
- 103
- 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
- Number of index n subgroups of modular group PSL_2(Z).at n=14A005133
- Josephus problem: numbers m such that, when m people are arranged on a circle and numbered 1 through m, the final survivor when we remove every 4th person is one of the first three people.at n=24A005427
- Number of binary vectors of length n containing no singletons.at n=19A006355
- a(n) = n! + 2^n.at n=7A007611
- a(n) = floor(n(n-1)(n-2)(n-3)/18).at n=19A011928
- a(n) is least k such that k and 6k are anagrams in base n (written in base 10).at n=32A023098
- a(n) = 2*Fibonacci(2*n+2).at n=8A025169
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=23A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=24A025413
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=28A032246
- Multiplicity of highest weight (or singular) vectors associated with character chi_66 of Monster module.at n=37A034454
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0,3.at n=4A037733
- Array of numbers used in exotic ternary numeration system, read by antidiagonals.at n=53A038150
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=4A045247
- Number of distinct permutations generated by shuffling n cards with "clump size" <= 2.at n=15A047992
- Starting positions of strings of 2 0's in the decimal expansion of Pi.at n=39A050201
- Denominators of row 4 of table described in A051714/A051715.at n=14A051723
- Layer counting sequence for hyperbolic tessellation by cuspidal triangles of angles (Pi/3,Pi/3,0) (this is the classical modular tessellation).at n=16A054886
- a(0) = 1, then twice the Fibonacci sequence.at n=18A055389
- a(n) = 2*Fibonacci(n) - (1 - (-1)^n)/2.at n=18A062114