3760
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
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 5168
- 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
- 1472
- Möbius Function
- 0
- Radical
- 470
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 131
- 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
- Number of plane partitions of n with at most two rows.at n=18A000990
- Fermionic string states.at n=14A005309
- Theta series of D_5 lattice.at n=26A005930
- Coordination sequence T3 for Zeolite Code GOO.at n=42A008113
- Coordination sequence T12 for Zeolite Code MFI.at n=39A008164
- Expansion of e.g.f.: tanh(x)/(1+x).at n=7A009838
- Coordination sequence T2 for Zeolite Code ZON.at n=43A009920
- Number of segments (and sides) created by diagonals of an n-gon in general position.at n=13A014628
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=23A014813
- Numbers k such that the decimal expansion of k^2 contains k as a substring.at n=18A018834
- Positive numbers k such that k and 2*k are anagrams in base 9 (written in base 9).at n=15A023079
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=16A024194
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=18A026046
- Substring of both its square and its cube.at n=18A029943
- Convolution of Catalan numbers and powers of -1.at n=9A032357
- Every run of digits of n in base 15 has length 2.at n=23A033013
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=38A033028
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=20A035136
- Positive integers with more base-15 runs of even length than odd.at n=24A044841
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=43A045171