3707
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4056
- Proper Divisor Sum (Aliquot Sum)
- 349
- 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
- 3360
- Möbius Function
- 1
- Radical
- 3707
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- Coordination sequence T1 for Zeolite Code AFI.at n=42A008014
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=20A014088
- 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 59.at n=23A031557
- Expansion of sum ( q^n / product( 1-q^k, k=1..3*n), n=0..inf ).at n=24A035295
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(0,5) + cn(1,5) + cn(4,5) + cn(3,5).at n=28A039904
- Denominators of continued fraction convergents to sqrt(718).at n=8A042383
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=39A044339
- Catafusenes (see reference for precise definition).at n=13A045907
- Discriminants of imaginary quadratic fields with class number 14 (negated).at n=38A046011
- Coordination sequence T3 for Zeolite Code AEN.at n=38A047952
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 18.at n=39A051983
- T(n,n-3), array T as in A054106.at n=27A054107
- Numbers k such that 8*10^k + 3*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=8A056723
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=20A063340
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=16A064905
- Sum_{k=1..n} floor(n*(n-1)/(2*k)).at n=42A069627
- Expansion of (1+x^3*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=7A071732
- a(0)=1, a(1)=3, a(n) = 6*a(n-1) - 7*a(n-2), n >= 2.at n=6A083878
- Number of columns in the character table of the symmetric group S_n that have zero sum.at n=28A085642
- Number of different values that can be assumed by the determinant of a 3 X 3 matrix whose elements are all permutations of the consecutive integers in the range (n-4,n+4).at n=35A097400