5657
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5658
- 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
- 5656
- Möbius Function
- -1
- Radical
- 5657
- 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
- 111
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 745
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=7A020390
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=31A027662
- Palindromic primes in base 8.at n=22A029976
- Primes such that digits of p do not appear in p^3.at n=14A030087
- Primes formed by concatenating n with n+1.at n=7A030458
- Pair up the numbers.at n=28A030656
- Primes of form x^2+89*y^2.at n=28A033257
- Positive numbers having the same set of digits in base 9 and base 10.at n=27A037443
- Primes whose decimal expansion is a concatenation of two or more consecutive increasing numbers (no leading zeros allowed).at n=8A052087
- Primes for which some rearrangement of the digits (leading zeros not allowed) is the product of two consecutive primes.at n=36A053652
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=12A060261
- Between p and the next prime either there are no numbers or there is a single squarefree number.at n=43A061351
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=26A064396
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (4,2).at n=44A073649
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A074338
- a(n) = prime(n*(n+1)/2+4).at n=38A078725
- First row of square array A082011.at n=36A082012
- Triangle of primes associated with A083779.at n=29A083781
- Diagonal of A088262.at n=22A088263
- Numbers n which are prime and which when each digit is incremented by 2 with carries ignored yields another prime p with the same property.at n=34A088786