1384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2610
- Proper Divisor Sum (Aliquot Sum)
- 1226
- 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
- 688
- Möbius Function
- 0
- Radical
- 346
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- a(n) = 2*(a(n-1) + (n-1)*a(n-2)) for n >= 2 with a(0) = 1.at n=6A000898
- Discriminants of totally real cubic fields.at n=38A006832
- Coordination sequence T1 for Zeolite Code ANA.at n=24A008031
- Coordination sequence T2 for Zeolite Code BIK.at n=22A008048
- Coordination sequence T2 for Milarite.at n=23A008257
- Expansion of e.g.f. tan(x)*sin(x) (even powers only).at n=4A009744
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=44A017865
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T1 atom.at n=10A019170
- Irreducible quadruple Euler sums of weight 2n+10 (verified for n <= 14).at n=40A019449
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 8.at n=12A022313
- Length of n-th term of A022470.at n=24A022471
- Numbers k such that Fib(k) == -21 (mod k).at n=18A023168
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number A000204 > 1) and d(n) = (n-th non-Fibonacci number).at n=13A023485
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 1) and d(n) = (n-th non-Lucas number).at n=13A023493
- a(n) = Sum_{k=1..n} k*floor(n/k); also Sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n (A000203).at n=40A024916
- Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^4.at n=36A028593
- McKay-Thompson series of class 8E for the Monster group.at n=21A029841
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 17.at n=19A031515
- Numbers k such that 81*2^k+1 is prime.at n=37A032390
- Fractional part of square root of a(n) starts with 2: first term of runs.at n=34A034108