2382
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4776
- Proper Divisor Sum (Aliquot Sum)
- 2394
- 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
- 792
- Möbius Function
- -1
- Radical
- 2382
- Omega Function (Ω)
- 3
- 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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = solution to the postage stamp problem with 3 denominations and n stamps.at n=31A001208
- Numbers that are the sum of 9 positive 6th powers.at n=30A003365
- a(n) = 3 + n/2 + 7*n^2/2.at n=26A006124
- Dimension of n-th compound of a certain space.at n=11A007182
- Coordination sequence T2 for Zeolite Code ATT.at n=35A008042
- Coordination sequence T2 for Zeolite Code NAT.at n=33A008204
- Coordination sequence for NiAs(2), As position.at n=23A009945
- Coordination sequence for NiAs(2), Ni position.at n=23A009946
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=48A014670
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=43A020367
- a(n+1) = a(n) converted to base 8 from base 7 (written in base 10).at n=31A023388
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=15A024473
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=14A025093
- a(n) = Sum_{k=0..n} T(n,k), T given by A026769.at n=10A026776
- Sequence satisfies T^2(a)=a, where T is defined below.at n=54A027584
- 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 32.at n=12A031530
- Numbers whose set of base-13 digits is {1,3}.at n=15A032920
- Fractional part of square root of a(n) starts with 8: first term of runs.at n=46A034114
- Numbers n such that string 3,6 occurs in the base 9 representation of n but not of n-1.at n=32A044284
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=25A044414