3718
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6588
- Proper Divisor Sum (Aliquot Sum)
- 2870
- 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
- 1560
- Möbius Function
- 0
- Radical
- 286
- 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
- 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
- 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
- a(n) is the number of partitions of n (the partition numbers).at n=28A000041
- Class numbers of quadratic fields.at n=22A002141
- Class numbers of quadratic fields.at n=21A002141
- Class numbers of quadratic fields.at n=23A002141
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=21A002624
- a(n) = n*(n+1)*(n+2)^2/6.at n=11A004320
- Coordination sequence T1 for Zeolite Code AFT.at n=46A008026
- Coordination sequence T2 for Zeolite Code AFT.at n=46A008027
- Coordination sequence T3 for Zeolite Code AFT.at n=46A008028
- Coordination sequence T2 for Zeolite Code BIK.at n=37A008048
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=46A008110
- Coordination sequence T2 for Zeolite Code AFX.at n=46A009865
- Coordination sequence T2 for Zeolite Code CON.at n=43A009869
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=20A024686
- a(n) = (n + 1)*binomial(n + 1, 10).at n=3A027770
- a(n) is the sum of the non-Fibonacci numbers in row n of array T given by A027935, computed as T(n,m) + T(n,m+1) + ... + T(n,n-1), where m = floor((n+2)/2).at n=12A027946
- Even elements in 3-Pascal triangle A028262 (by row).at n=44A028266
- Even elements in 3-Pascal triangle A028262 (by row).at n=47A028266
- Number of distinct elements in 3-Pascal triangle A028262 (by row).at n=51A028267
- Distinct even elements in 3-Pascal triangle A028262 (by row).at n=24A028269