1176
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
- 24
- Divisor Sum
- 3420
- Proper Divisor Sum (Aliquot Sum)
- 2244
- 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
- 336
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 6
- 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
- 119
- 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
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=47A000114
- Number of forests with n nodes and height at most 3.at n=4A000950
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=41A001263
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=39A001263
- Lah numbers: a(n) = n!*binomial(n-1,5)/6!.at n=2A001778
- Related to Zarankiewicz's problem.at n=46A001841
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=12A002653
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=13A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=13A002706
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=12A002706
- Number of bipartite partitions.at n=9A002768
- Erroneous version of A001011 ("folding a strip of stamps").at n=8A003054
- Number of Hamiltonian cycles in D_4 X P_n.at n=6A003759
- a(n) = 1000*log_10(n) rounded down.at n=14A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=14A004226
- a(n) = n^2*(n+1)^2*(n+2)/12.at n=6A004302
- Binomial coefficient C(7n,n-5).at n=2A004373
- a(n) = binomial(n,3)*binomial(n-1,3)/4.at n=5A006542
- Number of nonzero elements in the character table of the symmetric group S_n.at n=9A006908
- Numbers that are divisible by the product of their digits.at n=40A007602