3080
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 5560
- 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
- 960
- Möbius Function
- 0
- Radical
- 770
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- a(n) = (3*n+1)*(3*n+2).at n=18A001504
- a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=10A001621
- Generalized sum of divisors function.at n=39A002132
- a(n) = 2*n*(2*n-1).at n=28A002939
- Degrees of irreducible representations of alternating group A_12.at n=33A003867
- Degrees of irreducible representations of symmetric group S_12.at n=61A003876
- Degrees of irreducible representations of symmetric group S_12.at n=60A003876
- Degrees of irreducible representations of Fischer group Fi22.at n=6A003913
- Numbers that are the sum of 11 positive 10th powers.at n=3A004811
- Numbers that are the sum of at most 12 nonzero 10th powers.at n=44A004907
- Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=5A005339
- a(n) = n*(5*n+1)/2.at n=35A005475
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=40A006918
- a(n) = 2*binomial(n,3).at n=22A007290
- Coordination sequence T5 for Zeolite Code GOO.at n=38A008115
- Coordination sequence for A_10 lattice.at n=2A008395
- Degrees of irreducible representations of group U6(2).at n=15A008948
- Degrees of irreducible representations of group U6(2).at n=16A008948
- Coordination sequence T2 for Zeolite Code VNI.at n=34A009908
- Expansion of Product (1 - x^k)^10 in powers of x.at n=23A010818