5683
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5684
- 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
- 5682
- Möbius Function
- -1
- Radical
- 5683
- 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
- 80
- 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
- 748
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=40A000199
- Numbers that are the sum of 6 positive 6th powers.at n=41A003362
- Maxima of the rows of the triangle A259095.at n=38A005577
- Coordination sequence T1 for Zeolite Code VNI.at n=46A009907
- 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=7A031573
- Upper prime of a difference of 14 between consecutive primes.at n=31A031933
- Number of ways of placing 2n points on n X n grid so no 3 are in a line (solutions with no symmetry).at n=15A037185
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=23A046008
- Primes of the form 4*k^2 + 4*k + 59.at n=32A048988
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=14A052232
- a(n+1) = smallest prime p in the range a(n) < p < a(1)*a(2)*...*a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n).at n=47A057459
- Primes p such that p^10 reversed is also prime.at n=26A059703
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 13 (most significant digit on right).at n=8A061966
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=32A068896
- Final members of groups in A076034.at n=46A076033
- p, p+6 and p+10 are consecutive primes.at n=38A078562
- Antidiagonal sums of square array A082025.at n=19A082190
- Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers.at n=30A084276
- Indices of primes in the sequence defined by A(0) = 67, A(n) = 10*A(n-1) - 53 for n > 0.at n=7A101520
- Number of partitions of n into parts but with two kinds of parts of sizes 1 to 9.at n=16A103928