2680
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
- 16
- Divisor Sum
- 6120
- Proper Divisor Sum (Aliquot Sum)
- 3440
- 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
- 1056
- Möbius Function
- 0
- Radical
- 670
- 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
- 71
- 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 ways of placing n nonattacking queens on an n X n board.at n=11A000170
- Expansion of g.f.: (1+x^3)*(1+x^4)/((1-x)*(1-x^2)^2*(1-x^4)).at n=39A004657
- Number of disjunctively-realizable functions of n variables.at n=4A005739
- a(n) = (n^3 + 2*n)/3.at n=20A006527
- Coordination sequence T7 for Zeolite Code EUO.at n=32A008102
- Coordination sequence T2 for Zeolite Code LTL.at n=38A008139
- Coordination sequence T2 for Milarite.at n=32A008257
- Coordination sequence for MgNi2, Position Mg2.at n=13A009935
- Coordination sequence for FeS2-Pyrite, S position.at n=24A009956
- a(n)=a(n-1)+a(n-4).at n=24A014098
- a(n) = n*(21*n-1)/2.at n=16A022278
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=29A023080
- Number of n-celled polyknights (polyominoes connected by knight's moves).at n=5A030446
- First gap of n in sequence A038593 (upper terms).at n=31A038662
- Multiples of 4 that are the difference of two positive cubes.at n=33A038849
- Multiples of 8 that are the difference of two positive cubes.at n=26A038850
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=13A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=3A038854
- Denominators of continued fraction convergents to sqrt(909).at n=7A042757
- Numbers k such that string 1,7 occurs in the base 8 representation of k but not of k-1.at n=47A044202