1055
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
- 4
- Divisor Sum
- 1272
- Proper Divisor Sum (Aliquot Sum)
- 217
- 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
- 840
- Möbius Function
- 1
- Radical
- 1055
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 168
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(n) = (n+2)*Catalan(n) - 1.at n=6A000777
- a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.at n=9A001210
- Primes multiplied by 5.at n=46A001750
- Numbers that are the sum of 12 positive 6th powers.at n=18A003368
- a(n) = n*(3^n - 2^n).at n=5A004142
- Representation degeneracies for boson strings.at n=21A005293
- Number of unsensed simple planar maps with n edges and without vertices of degree 1.at n=11A006401
- Coordination sequence T2 for Zeolite Code BOG.at n=23A008050
- Coordination sequence T2 for Zeolite Code VFI.at n=25A008246
- Molien series for Weyl group E_8.at n=46A008582
- Coordination sequence T7 for Zeolite Code CON.at n=23A009874
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=9A010004
- Expansion of 1/((1-8*x)*(1-10*x)*(1-11*x)*(1-12*x)).at n=2A016093
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=14A019459
- Integer part of Gamma(n+1/2)/Gamma(1/2).at n=7A020090
- Fibonacci sequence beginning 3, 10.at n=11A022122
- a(n) = n*(21*n + 1)/2.at n=10A022279
- Numbers k such that Fibonacci(k) == 5 (mod k).at n=38A023176
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=19A024306
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence), t = A014306.at n=57A024691