1040
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 2604
- Proper Divisor Sum (Aliquot Sum)
- 1564
- 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
- 384
- Möbius Function
- 0
- Radical
- 130
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=36A000695
- a(n) = (2^n + 2^[ n/2 ] )/2.at n=9A001445
- MacMahon's generalized sum of divisors function.at n=18A002127
- a(n) = max_{k=0..n} 2^k*A048993(n,k).at n=6A002871
- Numbers that are the sum of 10 positive 5th powers.at n=41A003355
- Degrees of irreducible representations of group L4(3).at n=28A003900
- a(n) = prime(n) + Fibonacci(n).at n=15A004397
- Expansion of 1 / Sum_{n=-oo..oo} x^(n^2).at n=14A004402
- Least number which is side of n Pythagorean triples.at n=34A006593
- Series for second perpendicular moment of hexagonal lattice.at n=5A006742
- a(n) = n*(4*n+1).at n=16A007742
- Coordination sequence T3 for Zeolite Code DOH.at n=20A008080
- Coordination sequence T2 for Zeolite Code EUO.at n=20A008097
- Coordination sequence T4 for Zeolite Code MFS.at n=20A008176
- a(n+1) = a(n)-b(n+1) if a(n) >= b(n+1) else a(n)+b(n+1), where {b(n)} are the triangular numbers A000217.at n=43A008345
- 2^(2n-6) * C(n,3) - 2^(n-2) * C(n,4).at n=3A008465
- Number of points on surface of 4-dimensional cube.at n=5A008511
- High-temperature coefficients for 5-d cubic lattice.at n=2A010573
- a(n) = floor(n*(n-1)*(n-2)/15).at n=26A011897
- Number of distinct nonzero absolute values of Sum_{j=1..n} sigma_j * exp(i * Pi * j / n) where sigma_j = +- 1.at n=15A013914