5927
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
- 5928
- 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
- 5926
- Möbius Function
- -1
- Radical
- 5927
- 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
- 72
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 779
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=38A000353
- Greatest prime divisor of prime(n)*prime(n-1) + 1.at n=36A023525
- Least odd prime divisor of p(n)*p(n-1) + 1, or 1 if p(n)*p(n-1) + 1 is a power of 2.at n=36A023527
- Primes of the form k^2 - 2.at n=23A028871
- 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=31A031573
- Concatenate n-th prime and n-th composite.at n=16A038530
- Primes that are concatenations of k-th prime and k-th composite.at n=1A038531
- Numerators of continued fraction convergents to sqrt(237).at n=5A041442
- a(n) contains the digit b-1 in all bases b from 2 to n.at n=11A051640
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=14A054824
- Smaller term of closest safe prime pairs.at n=12A059323
- Special safe primes (from A005385) such that the next prime is also a safe prime.at n=6A059394
- Smaller of safe prime twins: special safe primes (A005385) p such that the next prime is also the next safe prime and is p+12, i.e., occurs at the closest possible distance, 12.at n=4A059395
- Boustrophedon transform of 0, 1, 0, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,... the Fibonacci numbers (F_0 = 0, F_1 = 1, A000045) with an erroneous term (F_2 = 0 instead of 1).at n=8A062122
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=14A066179
- a(n) = 4*n^2 + 4*n - 1.at n=37A073577
- Final terms of groups in A075639.at n=38A075642
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 8*p+1 (A023228) is also prime.at n=23A075706
- a(n) = prime(n*(n+1)/2 + n).at n=37A078723
- Denominator of (prime(n)+1)*(prime(n+1)+1)/(4*(prime(n)*prime(n+1)+1)).at n=35A079082