2484
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 4236
- 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
- 792
- Möbius Function
- 0
- Radical
- 138
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- yes
- 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
- Restricted permutations.at n=10A000382
- a(n) = n!*(1 + Sum_{i=1..n} 1/i).at n=6A000774
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=27A001106
- a(n) = floor(1000*log(n)).at n=11A004240
- Spiral sieve using Fibonacci numbers.at n=16A005621
- Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions.at n=17A006533
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=27A006580
- Coordination sequence T2 for Zeolite Code EUO.at n=31A008097
- Coordination sequence T3 for Zeolite Code LOV.at n=33A008136
- Coordination sequence T2 for Zeolite Code MEL.at n=32A008151
- Coordination sequence for quartz.at n=28A008261
- Theta series of direct sum of f.c.c. and b.c.c. lattices.at n=44A008664
- Coordination sequence T1 for Zeolite Code -WEN.at n=36A009862
- Coordination sequence T2 for Zeolite Code RTE.at n=34A009891
- Magnetic susceptibility coefficients for square lattice spin 3 Ising model.at n=52A010117
- Magnetic susceptibility coefficients for square lattice spin 5/2 Ising model.at n=42A010119
- a(n) = n*(2*n-3).at n=36A014107
- Number of partitions of 2*n into at most 4 parts.at n=33A014126
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=31A015728
- Number of lines through exactly 6 points of an n X n grid of points.at n=37A018813