5923
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5924
- 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
- 5922
- Möbius Function
- -1
- Radical
- 5923
- 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
- 36
- 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
- 778
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=3A002149
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=31A007353
- Expansion of e.g.f.: sinh(x)/(1+x).at n=7A009628
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=45A023288
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=21A023296
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=14A023317
- Primes that remain prime through 5 iterations of function f(x) = 6x + 5.at n=3A023345
- T(n, 2*n-3), T given by A027960.at n=30A027965
- Primes of the form n^2 - 6.at n=13A028880
- 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=30A031573
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=9A031816
- Upper prime of a difference of 20 between consecutive primes.at n=6A031939
- Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=6A038552
- Numbers having three 1's in base 9.at n=31A043459
- Discriminants of imaginary quadratic fields with class number 7 (negated).at n=30A046004
- Primes p such that p+4 and p+16 are also primes.at n=43A049492
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=19A049493
- a(n) = (2*n-2)*(2*n-1)*a(n-1)+1.at n=4A051397
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=14A054823
- Primes such that replacing each digit d with d copies of the digit d produces a prime. Zeros are not allowed.at n=37A057628