3916
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 3644
- 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
- 1760
- Möbius Function
- 0
- Radical
- 1958
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 51
- 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
- Coefficients of period polynomials.at n=22A006308
- Number of homogeneous primitive partition identities with largest part n.at n=8A007343
- Coordination sequence T1 for Zeolite Code NES.at n=40A008205
- a(n) = p*(p-1)/2 for p = prime(n).at n=23A008837
- Coordination sequence T5 for Zeolite Code RSN.at n=41A009889
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=39A011896
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=44A014105
- a(n) = Sum_{j=0..n} j*Fibonacci(j).at n=12A014286
- Even triangular numbers.at n=44A014494
- Number of partitions of n into distinct parts, none being 7.at n=54A015754
- Binomial coefficients C(n,87).at n=2A017751
- Binomial coefficients C(89,n).at n=2A017805
- Smallest triangular number that begins with n.at n=38A018855
- Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960.at n=40A024186
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=23A024844
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 2, -2, 1, 2.at n=15A025260
- (prime(n)-1)(prime(n)-3)/8.at n=39A030005
- a(n) = (prime(n)-3)*(prime(n)-5)/8.at n=40A030007
- a(n) = 2*n*(4*n + 1).at n=22A033585
- Triangular numbers that have some nontrivial permutation of digits which is also triangular.at n=19A034291