15797
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 15798
- 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
- 15796
- Möbius Function
- -1
- Radical
- 15797
- 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
- 40
- 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
- 1843
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pisot sequence E(14,23), a(n) = floor( a(n-1)^2/a(n-2)+1/2 ).at n=14A010902
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CHI = Chiavennite Ca4Mn4[Be8Si20O52(OH)8].8H2O starting with a T2 atom.at n=15A019092
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=30A046122
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=30A050962
- Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=10A054801
- 1 + n-th prime is harmonic.at n=6A074692
- Primes with digit sum = 29.at n=37A106766
- Difference between numerator and denominator of the sum of all matrix elements of n X n Hilbert matrix M(i,j)=1/(i+j-1) (i,j = 1..n), A117731[n] - A117664[n].at n=5A119030
- Prime quartet leaders: largest number of a prime quartet.at n=37A119892
- Prime sums of 5 positive 5th powers.at n=34A123034
- Triangle read by rows in which row n lists prime factors of p^p - 1 where p = prime(n).at n=13A125135
- Least prime factor of Sum_{k=0..n-1} n^k.at n=9A125571
- Prime numbers k such that k^2 +- (k+1) are primes.at n=39A137460
- Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=11A138755
- Primes congruent to 16 mod 43.at n=40A142265
- Primes congruent to 44 mod 59.at n=31A142771
- Primes congruent to 59 mod 61.at n=31A142857
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 13: primes in A333640.at n=40A146358
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A149416
- Primes p of the form A152539(n) + 1.at n=27A152540