5791
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5792
- 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
- 5790
- Möbius Function
- -1
- Radical
- 5791
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 760
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=43A001125
- Coordination sequence T4 for Zeolite Code MTT.at n=47A008192
- Coordination sequence T1 for Milarite.at n=47A008256
- Coordination sequence T3 for Zeolite Code VET.at n=46A009904
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=18A023281
- 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=18A031573
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=2A031826
- Lower prime of a difference of 10 between consecutive primes.at n=72A031928
- Number of partitions satisfying cn(2,5) + cn(3,5) <= 1.at n=40A039857
- Largest prime substring in 5^n (0 if none).at n=22A046271
- Primes of the form 30*p + 1 where p is also prime.at n=19A051646
- Primes p whose period of reciprocal equals (p-1)/6.at n=36A056211
- Numbers p from A001125 such that 2*p-3 is prime.at n=11A063939
- Number of winning binary "same game" templates with ternary digits totaling n.at n=19A066346
- a(1) = 3 and the sequence of smallest primes not included earlier, the concatenation of which is the cyclic pattern 357913579135...at n=5A068825
- First n-digit prime in the concatenation of odd integers allowing leading zeros.at n=3A073176
- First n-digit prime in the concatenation of odd integers forbidding leading zeros.at n=3A073428
- a(n) = A055086(2^n).at n=22A078159
- Numbers containing no zero digits in bases 3 to 10.at n=15A085509
- Number of three-choice paths along a corridor of height 5, starting from the lower side.at n=9A085810