13399
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13400
- 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
- 13398
- Möbius Function
- -1
- Radical
- 13399
- 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
- 138
- 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
- 1589
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=2A031862
- Increasing gaps among twin primes: the largest prime of the starting twin pair.at n=10A036061
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=17A047977
- n consecutive primes differ by 4 or more starting at a(n), or n consecutive primes with no twin primes.at n=23A054690
- n consecutive primes differ by 4 or more starting at a(n), or n consecutive primes with no twin primes.at n=24A054690
- n consecutive primes differ by 4 or more starting at a(n), or n consecutive primes with no twin primes.at n=25A054690
- New records in A054690 (start of n consecutive non-twin primes).at n=7A054691
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=18A064687
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=51A078784
- a(1)=2; for n>1, a(n+1) = least prime > a(n) and congruent to a prime modulo prime successor of a(n).at n=12A080898
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=19A091362
- Primes of the form 100n - 1.at n=38A095995
- Number of primes <=10^n in which decimal digits are all distinct.at n=5A098224
- Primes p such that p's set of distinct digits is {1,3,9}.at n=26A108383
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=33A120364
- Primes for which the period of the reciprocal equals (p-1)/14.at n=13A135073
- Primes congruent to 33 mod 41.at n=40A142230
- Primes congruent to 26 mod 43.at n=34A142275
- Primes congruent to 4 mod 47.at n=29A142356
- Primes congruent to 22 mod 49.at n=35A142432