1275
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2232
- Proper Divisor Sum (Aliquot Sum)
- 957
- 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
- 640
- Möbius Function
- 0
- Radical
- 255
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- no
- Odd
- yes
Appears in sequences
- Related to Zarankiewicz's problem.at n=48A001841
- MacMahon's solid partitions of n in which 4 is the smallest summand.at n=9A002045
- Divisors of 2^40 - 1.at n=36A003546
- Coefficients of Jacobi cusp form of index 1 and weight 12.at n=8A003785
- Degrees of irreducible representations of Held group He.at n=8A003912
- Degrees of irreducible representations of Held group He.at n=9A003912
- Degrees of irreducible representations of Held group He.at n=10A003912
- a(n) = Sum_{k=0..n} binomial(2*k,k).at n=6A006134
- a(n) = n*(n+1)*(n+8)/6.at n=17A006503
- Coordination sequence T2 for Zeolite Code AEI.at n=27A008002
- Coordination sequence T4 for Zeolite Code AFR.at n=27A008022
- Coordination sequence T5 for Zeolite Code MEL.at n=23A008154
- Coordination sequence T8 for Zeolite Code PAU.at n=26A008226
- Molien series for A_4.at n=43A008627
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=45A008772
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=25A014105
- Odd triangular numbers.at n=25A014493
- Odd numbers k such that d(k) does not divide phi(k).at n=34A015734
- (s(n)+s(n+1))/18, where s()=A006521.at n=12A016060
- Expansion of 1/((1-4x)(1-5x)(1-6x)).at n=3A016103