1128
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1752
- 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
- 368
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 5
- 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
- yes
- 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
- 18
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=24A000384
- Eighth column of quadrinomial coefficients.at n=4A001919
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=38A002053
- Numbers k such that 7*4^k + 1 is prime.at n=20A002255
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=61A003105
- Binomial coefficient C(4n,n-10).at n=2A004340
- Binomial coefficient C(6n,n-6).at n=2A004361
- Binomial coefficient C(8n,n-4).at n=2A004385
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=24A004963
- Quadrinomial coefficients.at n=7A005725
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=7A006564
- Denominator of B_{2n}/(-4n), where B_m are the Bernoulli numbers.at n=23A006863
- Number of self-avoiding walks on hexagonal lattice.at n=3A007201
- 7th-order maximal independent sets in cycle graph.at n=46A007389
- Coordination sequence T4 for Zeolite Code BOG.at n=24A008052
- Coordination sequence T2 for Zeolite Code EUO.at n=21A008097
- Multiples of 24.at n=47A008606
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=28A008610
- Expansion of e.g.f. exp(tanh(log(1+x))).at n=8A009257
- Coordination sequence for CaF2(2), Ca position.at n=15A009926