5879
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5880
- 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
- 5878
- Möbius Function
- -1
- Radical
- 5879
- 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
- yes
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 774
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Worst cases for Pierce expansions (denominators).at n=25A006538
- Worst cases for Pierce expansions (denominators).at n=24A006538
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=29A020403
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=22A023285
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=35A025024
- 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=26A031573
- a(n)=a(n-1)+a(n-2)-d, where d=a(n/2) if n is even, else d=0; 2 initial terms.at n=22A050192
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=34A052350
- a(n) = (2*n-1)*a(n-1) - a(n-2), a(0)=a(1)=1.at n=6A053983
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=5A060230
- Primes with 11 as smallest positive primitive root.at n=30A061324
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=11A065117
- Smallest prime divisor of n-th primorial + (n+1)-st prime.at n=19A065315
- Start of a record-breaking run of consecutive integers with an odd number of prime factors.at n=7A066794
- Prime(n) and prime(n+2) use the same digits.at n=10A069794
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=26A073609
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=22A075707
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=25A079029
- a(1) = 1 and then the smallest primes such that all a(k)-a(j) are distinct composite numbers.at n=36A079850
- Primes p such that 7 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=9A080186