3892
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7840
- Proper Divisor Sum (Aliquot Sum)
- 3948
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1656
- Möbius Function
- 0
- Radical
- 1946
- 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
- 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
- 100
- 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
- Rook polynomials.at n=5A005778
- Coordination sequence T3 for Zeolite Code AFT.at n=47A008028
- Coordination sequence T3 for Zeolite Code ATS.at n=45A008040
- Coordination sequence T1 for Zeolite Code HEU.at n=41A008116
- Expansion of e.g.f. sinh(log(1+x))*cosh(x).at n=7A009573
- a(n) = (1/2) * A027170(2n, n).at n=5A027172
- Coordination sequence T4 for Zeolite Code CGS.at n=46A027368
- Number of conjugacy classes of elements of order n in E_8(C).at n=22A045514
- a(n) = (1/24)*n*(n + 5)*(n^2 + n + 6).at n=15A051743
- Numbers n such that (n!)^2-n!+1 is prime.at n=8A051857
- Coordination sequence T5 for Zeolite Code SFE.at n=41A057321
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=21A063340
- Indices of record entries (A065192) in A065191.at n=55A065193
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A051788.at n=32A080223
- a(n) = sigma(n,2) + sigma(n+1,2).at n=39A092411
- Numbers n whose abundance is 56.at n=33A101260
- Sophie Germain 4-almost primes.at n=41A111176
- Triangle, read by rows, equal to the matrix square of triangle A113389. Also given by the matrix product: R^2 = Q^3*(P^-2)*Q, using triangular matrices P=A113370, Q=A113381 and R=A113389.at n=11A113392
- Triangle, read by rows, given by the product R^-1*P^3 using triangular matrices P=A113370, R=A113389.at n=17A114153
- Numbers k such that the k-th triangular number contains only digits {5,7,8}.at n=7A119225