2079
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3840
- Proper Divisor Sum (Aliquot Sum)
- 1761
- 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
- 1080
- Möbius Function
- 0
- Radical
- 231
- Omega Function (Ω)
- 5
- 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
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- Powers of rooted tree enumerator.at n=10A000439
- Degrees of irreducible representations of alternating group A_12.at n=28A003867
- Degrees of irreducible representations of symmetric group S_12.at n=48A003876
- Degrees of irreducible representations of symmetric group S_12.at n=49A003876
- a(n) = floor(1000*log(n)).at n=7A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=7A004241
- 5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!.at n=8A005585
- Denominators of expansion of sinh x / sin x.at n=31A006656
- a(n) = 6*(2*n+1)! / ((n!)^2*(n+3)).at n=5A007946
- Coordination sequence T1 for Zeolite Code AFO.at n=30A008015
- Coordination sequence T2 for Zeolite Code NES.at n=29A008206
- Coordination sequence T1 for Zeolite Code PHI.at n=33A008227
- Molien series for A_4.at n=51A008627
- a(n) = n*(2*n-3).at n=33A014107
- Number of segments created by diagonals of n-gon.at n=11A014629
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=9A020443
- Expansion of Product_{m>=1} (1-m*q^m)^27.at n=4A022687
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=9A022997
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=29A026065
- 9 times the triangular numbers A000217.at n=21A027468