5881
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
- 5882
- 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
- 5880
- Möbius Function
- -1
- Radical
- 5881
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 775
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=36A001134
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=36A001583
- Primes with record values of the least positive primitive root.at n=9A002230
- First differences of Shallit sequence S(3,7) (A020730).at n=9A014009
- Smallest prime having least positive primitive root n, or 0 if no such prime exists.at n=30A023048
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=25A024847
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=36A025024
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=8A031816
- Lower prime of a pair of consecutive primes having a difference of 16.at n=19A031934
- Increasing gaps among twin primes: the largest prime of the starting twin pair.at n=9A036061
- Sizes of successive clusters in Z^4 lattice.at n=34A046895
- a(n) = Sum_{i=0..floor((n+1)/2)} A047080(n,i).at n=15A047083
- a(n) = least prime of the form n*k! + 1.at n=48A057218
- Surround numbers of a length 2n zig-zag.at n=20A060641
- Primes p such that the greatest prime divisor of p-1 is 7.at n=33A061638
- Primes with 31 as smallest positive primitive root.at n=0A061735
- Primes of the form floor((8/7)^k).at n=11A067909
- Primes with either no internal digits or all internal digits are 8.at n=43A069683
- Primes of the form 210n + 1.at n=13A073102
- Numbers n such that the sum of the anti-divisors of n = phi(n).at n=5A074713