3713
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3840
- Proper Divisor Sum (Aliquot Sum)
- 127
- 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
- 3588
- Möbius Function
- 1
- Radical
- 3713
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- Number of integers <= 2^n of form 4 x^2 + 4 x y + 5 y^2.at n=15A000076
- Numbers that are the sum of 10 positive 6th powers.at n=46A003366
- Maximal planar degree sequences with n nodes.at n=12A007020
- Expansion of e.g.f.: exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5...at n=9A012480
- sinh(cos(x)*arcsin(x))=x-1/3!*x^3-15/5!*x^5+359/7!*x^7+3713/9!*x^9...at n=4A012486
- Coordination sequence T3 for Zeolite Code IFR.at n=43A024984
- Sum of the lengths of the cycle types of the permutation created by length sorting on the partitions of n.at n=27A036056
- Coordination sequence T8 for Zeolite Code SFF.at n=40A038435
- T(n,n-3), array T as in A038792.at n=28A038793
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=30A050967
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=36A051169
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=35A051169
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=34A051169
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=37A051169
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=33A051169
- Smallest number m such that 2*m - p is composite for the first n primes p.at n=38A051169
- Monotonic subsequence of A051169.at n=10A051610
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=26A059400
- Numbers k such that floor(Pi*k) is a square.at n=38A061812
- Composite and every divisor (except 1) contains the digit 7.at n=14A062676