5701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5702
- 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
- 5700
- Möbius Function
- -1
- Radical
- 5701
- 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
- 28
- 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
- 751
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=25A002383
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=42A023255
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=40A023262
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=11A031422
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=14A031812
- Lower prime of a difference of 10 between consecutive primes.at n=71A031928
- Primes of form x^2+89*y^2.at n=29A033257
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=37A033548
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=16A036570
- Automorphic primes: p such that p^p ends with the digits of p.at n=40A052228
- a(n) = 4*n^2 - 10*n + 7.at n=38A054554
- Coordination sequence T5 for Zeolite Code MTF.at n=45A057308
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=31A059055
- Primes p such that x^19 = 2 has no solution mod p.at n=34A059244
- Primes p such that p^6 reversed is also prime.at n=25A059699
- Primes of form 100*k + 1.at n=18A062800
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 61 ).at n=37A063334
- Total length of shortest ascending runs of permutations of length n.at n=6A064316
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=33A065094
- Centered 19-gonal numbers.at n=24A069132