2479
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2584
- Proper Divisor Sum (Aliquot Sum)
- 105
- 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
- 2376
- Möbius Function
- 1
- Radical
- 2479
- Omega Function (Ω)
- 2
- 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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Related to S(n), the number of self-dual monotone Boolean functions of n variables (A001206): 2^n-th term is S(n).at n=29A001087
- Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=25A003421
- Representation degeneracies for boson strings.at n=23A005294
- Coordination sequence T4 for Zeolite Code NON.at n=30A008215
- Coordination sequence T2 for Zeolite Code -PAR.at n=35A009856
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=19A013987
- a(n) = c(prime(n))/prime(n), where c = Perrin sequence A001608 (starting 0,2,3,...) and prime(n) is the n-th prime.at n=12A014981
- Inverse Euler transform of A000931.at n=40A018243
- Pseudoprimes to base 38.at n=21A020166
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=14A020387
- Coordination sequence T4 for Zeolite Code IFR.at n=35A024985
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (F(2), F(3), F(4), ...).at n=11A025101
- Positions of record values in A030747.at n=45A030752
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=29A031894
- Multiplicity of highest weight (or singular) vectors associated with character chi_155 of Monster module.at n=37A034543
- Number of partitions of n into parts 3k and 3k+1 with at least one part of each type.at n=38A035618
- Denominators of continued fraction convergents to sqrt(815).at n=9A042573
- Numbers whose base-7 representation contains exactly three 1's.at n=34A043399
- Numbers whose base-7 representation has exactly 5 runs.at n=19A043620
- Numbers k such that string 5,4 occurs in the base 9 representation of k but not of k-1.at n=33A044300