13597
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13598
- 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
- 13596
- Möbius Function
- -1
- Radical
- 13597
- 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
- 120
- 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
- 1608
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among quadruples.at n=16A015655
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=30A031832
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=14A050209
- a(n) is the smallest prime such that the number of primes produced according to rules stipulated in Honaker's A048853 is n.at n=15A050673
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=3A052357
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=37A064101
- Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583.at n=3A066055
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=14A094455
- Expansion of 1/sqrt(1 - 2*x + 9*x^2).at n=10A098332
- Primes p such that sigma(k) = phi(prime(k)-1), where p = prime(k).at n=13A107815
- Primes with at least one of each odd digit and no even digits.at n=0A108418
- Numbers n such that A064168(n) is prime.at n=68A123538
- Primes in A023108(n); or Lychrel primes.at n=36A135316
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=20A137474
- Primes congruent to 9 mod 43.at n=33A142258
- Primes congruent to 14 mod 47.at n=35A142365
- Primes congruent to 24 mod 49.at n=41A142434
- Primes congruent to 29 mod 53.at n=31A142559
- Primes congruent to 12 mod 55.at n=41A142609
- Primes congruent to 31 mod 57.at n=42A142684