1953
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3328
- Proper Divisor Sum (Aliquot Sum)
- 1375
- 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
- 1080
- Möbius Function
- 0
- Radical
- 651
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=7A003294
- Divisors of 2^30 - 1.at n=26A003538
- Binomial coefficient C(7n,n-7).at n=2A004375
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=8A005915
- x^3 + n*y^3 = 1 is solvable.at n=41A005988
- Expansion of g.f.: x^4/((1-x)*(1-x^2)^2*(1-x^3)).at n=52A008763
- Expansion of (1+x^4)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=49A008765
- Expansion of e.g.f. x*cos(sinh(x)) (odd powers only).at n=4A009057
- Expansion of e.g.f.: exp(sin(x))*x.at n=9A009206
- Coordination sequence T4 for Zeolite Code CON.at n=31A009871
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=31A014105
- Odd triangular numbers.at n=31A014493
- Odd numbers k that divide 25^k - 1.at n=27A014962
- Numbers k such that phi(k) | sigma(k + 5).at n=50A015843
- Binomial coefficients C(n,61).at n=2A017725
- Binomial coefficients C(63,n).at n=2A017779
- Number of connected partially ordered sets with n "lines": pairs (a,b) where a < b and there is no c with a < c < b. The lines form the minimal basis for the partial ordering.at n=6A022017
- Fibonacci sequence beginning 8, 17.at n=11A022390
- Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.at n=28A023893
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=20A025409