1152
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3315
- Proper Divisor Sum (Aliquot Sum)
- 2163
- 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
- 6
- Omega Function (Ω)
- 9
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Order of the group SL(2,Z_n).at n=11A000056
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=23A000082
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=49A000114
- Number of partitions into non-integral powers.at n=18A000148
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=26A000423
- a(n) = ceiling(n^2/2).at n=48A000982
- Jordan-Polya numbers: products of factorial numbers A000142.at n=32A001013
- a(n) = 2*n^2.at n=24A001105
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=38A001149
- Sorted list of orders of Weyl groups of types A_n, B_n, D_n, E_n, F_4, G_2.at n=12A001217
- Denominators of Bernoulli polynomials B(n)(x).at n=7A001898
- Denominators of Taylor series expansion of arcsin(x). Also arises from arccos(x), arccsc(x), arcsec(x), arcsinh(x).at n=4A002595
- Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).at n=14A003242
- Numbers that are the sum of 5 positive 5th powers.at n=24A003350
- Numbers that are the sum of 9 positive 7th powers.at n=9A003376
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=41A003586
- Number of spanning trees in (K_4 - e) X P_n.at n=1A003767
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=47A004011
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=35A004011
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=33A004011