13337
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13338
- 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
- 13336
- Möbius Function
- -1
- Radical
- 13337
- 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
- 68
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1584
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=9A020422
- Primes which when converted to base 36 make single letters or English words.at n=37A038842
- Primes p such that p^9 reversed is also prime.at n=38A059702
- Prime numbers with odd digits in ascending order.at n=43A061244
- Primes with either no internal digits or all internal digits are 3.at n=51A069678
- Triangle of primes derived in A083776.at n=13A083778
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=36A089634
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=40A094454
- Prime(144*n).at n=10A102350
- Primes p such that p's set of distinct digits is {1,3,7}.at n=13A108382
- a(n) = prime(n^2) - n^2.at n=41A141129
- Primes congruent to 12 mod 41.at n=40A142209
- Primes congruent to 7 mod 43.at n=36A142256
- Primes congruent to 36 mod 47.at n=34A142387
- Primes congruent to 9 mod 49.at n=39A142421
- Primes congruent to 34 mod 53.at n=30A142564
- Primes congruent to 27 mod 55.at n=37A142620
- Primes congruent to 56 mod 57.at n=41A142700
- Primes congruent to 3 mod 59.at n=26A142730
- Primes congruent to 39 mod 61.at n=23A142837