3740
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 5332
- 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
- 1280
- Möbius Function
- 0
- Radical
- 1870
- Omega Function (Ω)
- 5
- 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
- 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 c-nets with n+1 vertices and 2n+2 edges, n >= 1.at n=6A001508
- a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=15A005582
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=38A006950
- Coordination sequence T11 for Zeolite Code MFI.at n=39A008163
- Coordination sequence T6 for Zeolite Code MTT.at n=37A008194
- Coordination sequence T2 for Zeolite Code WEI.at n=45A009918
- a(n) = n*(2*n-3).at n=44A014107
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=23A014818
- Expansion of 1/((1-3x)*(1-5x)*(1-12x)).at n=3A017918
- Expansion of Product_{m>=1} (1+x^m)^11.at n=5A022576
- Expansion of 1/((1-2x)(1-5x)(1-6x)(1-9x)).at n=3A025988
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=39A026062
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=18A026063
- Even numbers to the left of the central elements of the (1,2)-Pascal triangle A029635.at n=41A029647
- Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653.at n=43A029661
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 30.at n=37A031528
- "EFK" (unordered, size, unlabeled) transform of 2,4,6,8,...at n=12A032309
- Concatenation of n and n + 3.at n=36A032608
- Number of binary codes (not necessarily linear) of length n with 3 words.at n=47A034198
- Trajectory of 3 under map n->27n+1 if n odd, n->n/2 if n even.at n=7A037111