5783
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
- 5784
- 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
- 5782
- Möbius Function
- -1
- Radical
- 5783
- 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
- 49
- 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
- 759
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pisot sequence E(14,23), a(n) = floor( a(n-1)^2/a(n-2)+1/2 ).at n=12A010902
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=28A014088
- Number of trivalent connected simple graphs with 2n nodes and girth at least 5.at n=10A014372
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=43A023264
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=43A023288
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=18A023297
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=3A023684
- 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=16A031573
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 5 generated by (1,2,3,4,5).at n=9A036727
- Positive numbers having the same set of digits in base 9 and base 10.at n=28A037443
- Numerators of continued fraction convergents to sqrt(773).at n=5A042490
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A048149.at n=27A049714
- Primes p such that x^59 = 2 has no solution mod p.at n=14A059312
- Primes p such that p^6 reversed is also prime.at n=27A059699
- Total number of even parts in all partitions of n.at n=24A066898
- Initial terms of rows of A077321.at n=48A077322
- Primes of the form k^2 + 7.at n=24A079138
- Numbers n which when converted to some base between 2 and 9 yield a result with the same digits as n in a different order.at n=45A090144
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=35A090713
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=11A097436