15791
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15792
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15790
- Möbius Function
- -1
- Radical
- 15791
- 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
- 84
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1842
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime having least positive primitive root n, or 0 if no such prime exists.at n=28A023048
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=30A023271
- Numbers whose least quadratic nonresidue (A020649) is 23.at n=1A025028
- Initial prime in set of 4 consecutive primes with common difference 6.at n=10A033451
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=17A052234
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=10A054800
- Primes with 29 as smallest positive primitive root.at n=0A061733
- Smallest prime p such that the least positive primitive root of p equals prime(n).at n=9A079061
- Primes p such that p, p+6, p+12, p+18 are consecutive primes and p=6*k+5 for some k.at n=6A090834
- Duplicate of A033451.at n=10A099734
- Odd numbers k for which 23 is the smallest positive i with Jacobi symbol J(i,k) != 1.at n=2A112079
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=38A118507
- Sophie Germain primes for which the reversal is also a Sophie Germain prime.at n=21A118573
- a(n) = a(n-2) + a(n-4) + a(n-5) + a(n-7) + a(n-8) + a(n-10) for n >= 10, with a(0) = ... = a(9) = 1.at n=32A122762
- Let m = n-th number that is not a perfect power, A007916(n). Then a(n) = smallest prime having least positive primitive root m.at n=21A133432
- Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=11A138735
- Primes congruent to 46 mod 47.at n=36A142397
- Primes congruent to 50 mod 53.at n=34A142580
- Primes congruent to 38 mod 59.at n=30A142765
- Primes congruent to 53 mod 61.at n=29A142851