5717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5718
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5716
- Möbius Function
- -1
- Radical
- 5717
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 753
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- q-Fibonacci numbers for q=4, scaling a(n-2).at n=6A015461
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=13A020380
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=14A023273
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=19A023298
- n written in fractional base 8/5.at n=47A024647
- Expansion of 1/((1-2x)(1-4x)(1-9x)(1-10x)).at n=3A025980
- Lower prime of a difference of 20 between consecutive primes.at n=5A031938
- Denominators of continued fraction convergents to sqrt(493).at n=6A041941
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=17A050666
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=20A050962
- Primes such that the sum of the factorials of the digits is a perfect square.at n=19A052279
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=27A052359
- Primes q of form q=10p+7, where p is also prime.at n=28A055783
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=21A063644
- Numbers k such that the first k binary digits of Pi expressed in decimal forms a prime.at n=7A065987
- a(n)=A074639(A074647(n)).at n=29A074648
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=27A079153
- Smallest primes such that a(j) - a(k) are all different.at n=37A079848
- Primes that are the sum of 7 consecutive primes.at n=41A082246
- a={1,3,7,9} b[n]=Prime[n]*10+a[[4-Mod[n,4]]] c(m) =if b[n] is prime then b[n].at n=36A089686