3766
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 2714
- 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
- 1608
- Möbius Function
- -1
- Radical
- 3766
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 87
- 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
- Coordination sequence T1 for Scapolite.at n=39A008262
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=18A015639
- Pisot sequence T(3,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=6A018920
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=11A020403
- Number of partitions of n into distinct parts, the least being odd.at n=54A026832
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=20A031798
- Numbers k such that the string 4,4 occurs in the base 9 representation of k but not of k-1.at n=46A044291
- Numbers n such that string 6,6 occurs in the base 10 representation of n but not of n-1.at n=37A044398
- Numbers n such that string 6,6 occurs in the base 10 representation of n but not of n+1.at n=37A044779
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).at n=35A063328
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ).at n=41A063367
- Number of m such that floor(prime(m)/m) = n.at n=8A072916
- Positions of A080299 in A014486.at n=11A080298
- A Binet like formula using the Akiyama-Thurston tile roots for a Minimal Pisot theta0 sequence.at n=30A097600
- Number of partitions of n into distinct parts in which the number of parts divides n.at n=64A102627
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=20A123997
- Number of degree-n permutations such that number of cycles of size 2k-1 is odd (or zero) for every k.at n=7A130278
- Positions of heptagonal numbers in the EKG sequence.at n=39A140810
- a(n) = 2*(n^3 + n^2 + n - 1).at n=12A155120
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 2,2 3,0 3,3 4,1 4,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155433