5964
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 10164
- 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
- 1680
- Möbius Function
- 0
- Radical
- 2982
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 93
- 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
- Self-convolution of Lucas numbers.at n=11A004799
- Aliquot sequence starting at 276.at n=10A008892
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=34A019450
- a(n) = n*(27*n + 1)/2.at n=21A022285
- a(n) = 2nd elementary symmetric function of the first n+1 positive integers congruent to 1 mod 4.at n=6A024378
- Multiplicity of highest weight (or singular) vectors associated with character chi_18 of Monster module.at n=36A034406
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^21 in powers of x.at n=4A047646
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=37A051897
- Numbers n such that n | Sigma_2(n) + Phi(n)^2.at n=7A055696
- Numbers n such that n | (sigma_5(n) - phi(n)^5).at n=16A055699
- Bisection of Lucas triangle A060922: odd-indexed members of column sequences of A060922 (not counting leading zeros).at n=22A060924
- Numbers k such that phi(k) + 1 = x^2 and sigma(k) + 1 = y^2 for some x and y.at n=33A063532
- Sod_4 - sod_3 + sod_2 - sod_1, where sod_k is the sum of k-th powers of digits of n.at n=39A076160
- A014486-indices of symmetric binary trees.at n=20A083940
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=31A090491
- a(n) is the number of positive integers <= 10^n that are divisible by no prime exceeding 3.at n=41A100752
- a(n) = n*(n+1)*(2*n^3 - n^2 + 2)/6.at n=7A101383
- Positive integers i for which A112049(i) == 6.at n=37A112066
- Triangle read by rows: rows = inverse binomial transforms of columns of A309220.at n=24A118980
- (Sum of the squares of the quadratic nonresidues of prime(n)) / prime(n).at n=40A125618