5083
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 965
- 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
- 4224
- Möbius Function
- -1
- Radical
- 5083
- 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
- no
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Degrees of irreducible representations of Fischer group Fi23.at n=3A003914
- Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice.at n=11A005902
- 4-dimensional analog of centered polygonal numbers.at n=11A006322
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=12A006564
- Coordination sequence T2 for Zeolite Code AEL.at n=47A008005
- Coordination sequence T2 for Cordierite.at n=43A008252
- Coordination sequence T2 for Zeolite Code VSV.at n=45A009915
- Pseudoprimes to base 16.at n=42A020144
- Pseudoprimes to base 35.at n=19A020163
- Strong pseudoprimes to base 35.at n=4A020261
- a(n) = n*(15*n + 1)/2.at n=26A022273
- a(n) = T(2n,n+3), T given by A026725.at n=5A026843
- Number of distributive lattices; also number of paths with n turns when light is reflected from 12 glass plates.at n=4A030116
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=42A032695
- Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1.at n=44A035940
- Denominators of continued fraction convergents to sqrt(831).at n=11A042605
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=31A045243
- Expansion of 1/((1-x)*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2*(1-x^5)*(1-x^6)).at n=23A045513
- Composite numbers n such that k! == 1 (mod n) for some k > 2.at n=14A049048
- Molien series for group G_{1,3} of order 2304.at n=12A051461