3795
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3117
- 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
- 1
- Radical
- 3795
- Omega Function (Ω)
- 4
- 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
- 69
- 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
- no
- Odd
- yes
Appears in sequences
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=22A000330
- The partition function G(n,4).at n=8A001681
- The coding-theoretic function A(n,4,4).at n=42A001843
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=43A006918
- Coordination sequence T3 for Zeolite Code EPI.at n=39A008092
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=43A008610
- Coordination sequence T1 for Zeolite Code DFO.at n=47A009875
- Coordination sequence T2 for Zeolite Code RSN.at n=40A009886
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=15A010819
- Expansion of Product_{k>=1} (1 - x^k)^23.at n=4A010829
- a(n) = floor(n*(n-1)*(n-2)/24).at n=46A011842
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=19A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=7A013593
- Odd square pyramidal numbers.at n=11A015221
- a(n) = n*(7*n - 1)/2.at n=33A022264
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=21A025112
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=31A025202
- Sequence satisfies T^2(a)=a, where T is defined below.at n=38A027593
- Odd elements in 3-Pascal triangle A028262 (by row).at n=72A028264
- Odd elements in 3-Pascal triangle A028262 (by row).at n=71A028264