1240
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1640
- 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
- 480
- Möbius Function
- 0
- Radical
- 310
- 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
- 88
- 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
- Erroneous version of A032522.at n=14A000017
- Number of ways of writing n as a sum of 5 squares.at n=18A000132
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=15A000330
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=40A001082
- The coding-theoretic function A(n,4,4).at n=28A001843
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=40A001859
- Generalized sum of divisors function.at n=28A002132
- Degrees of irreducible representations of group L5(2).at n=26A003901
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=36A005232
- A finite sequence associated with the Lie algebra E_8.at n=62A005555
- Number of Twopins positions.at n=37A005686
- Theta series of D_5 lattice.at n=9A005930
- Number of equivalence classes of 4 X n binary matrices when one can permute rows, permute columns and complement columns.at n=10A006380
- Series for second parallel moment of hexagonal lattice.at n=4A006741
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=29A006918
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=33A007372
- Numbers k such that sigma(k+2) = sigma(k).at n=7A007373
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=9A007419
- Number of 8-ary trees with n vertices.at n=4A007556
- Coordination sequence T3 for Zeolite Code LOV.at n=23A008136