5711
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
- 2
- Divisor Sum
- 5712
- 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
- 5710
- Möbius Function
- -1
- Radical
- 5711
- 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
- 129
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 752
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) is the least number m such that the n-th prime is the least quadratic nonresidue modulo m.at n=7A000229
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=19A001275
- Numbers k such that 13*2^k - 1 is prime.at n=7A001773
- Erroneous version of A045535.at n=6A001984
- Smallest prime p of form p = 8k-1 such that first n primes (p_1=2, ..., p_n) are quadratic residues mod p.at n=6A002223
- Coordination sequence T2 for Banalsite.at n=45A008250
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=27A014426
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=36A023253
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=44A023261
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=5A023287
- n written in fractional base 8/5.at n=41A024647
- Numbers whose least quadratic nonresidue (A020649) is 19.at n=0A025027
- a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=17A025046
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=42A029705
- Primes which are concatenations of three consecutive primes.at n=0A030469
- Primes which when concatenated with next 3 primes are also prime.at n=42A030472
- [ exp(1/8)*n! ].at n=6A030961
- Smallest prime which is a concatenation of n consecutive primes.at n=2A030997
- 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 75.at n=8A031573
- Primes of form x^2+86*y^2.at n=30A033255