13759
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
- 13760
- 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
- 13758
- Möbius Function
- -1
- Radical
- 13759
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1628
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of integers <= 2^n of form 4 x^2 + 4 x y + 5 y^2.at n=17A000076
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=29A031826
- Numbers k such that 80*R_k + 9 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A056663
- Primes with at least one of each odd digit and no even digits.at n=1A108418
- Primes such that the sum of the predecessor and successor primes is divisible by 43.at n=39A113158
- The upper twin prime whose lower member has a prime index.at n=33A129782
- List of strictly non-palindromic twin primes {p, p+2}.at n=11A138329
- Primes congruent to 24 mod 41.at n=39A142221
- Primes congruent to 42 mod 43.at n=38A142291
- Primes congruent to 35 mod 47.at n=32A142386
- Primes congruent to 39 mod 49.at n=40A142447
- Primes congruent to 32 mod 53.at n=28A142562
- Primes congruent to 9 mod 55.at n=35A142608
- Primes congruent to 12 mod 59.at n=28A142739
- Primes congruent to 34 mod 61.at n=25A142832
- Primes congruent to 35 mod 73.at n=20A154628
- Primes p such that p^3-p-+1 are twin primes.at n=21A158295
- Primes p such that the concatenation of p and 29 is a square number: "p 29" = N = m^2.at n=21A168545
- Primes with seven embedded primes.at n=29A179915
- Prime numbers containing the digit string 137.at n=12A190307