13463
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13464
- 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
- 13462
- Möbius Function
- -1
- Radical
- 13463
- 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
- 45
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1596
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Lists of 4 primes in arithmetic progression; common difference 6.at n=34A033449
- Primes which when converted to base 36 make single letters or English words.at n=40A038842
- Numerators of continued fraction convergents to sqrt(617).at n=6A042184
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=27A046123
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=8A054802
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=28A054823
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=1A054828
- Primes p such that x^53 = 2 has no solution mod p.at n=26A059258
- Primes of the form k^2 + 7.at n=30A079138
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=31A097434
- Primes of the form a^4 + b^3 with b>0.at n=28A100271
- Primes whose indices are the sum of the first n+1 Fibonacci numbers.at n=14A105554
- a(n) = numerator of Sum_{i=1..n} +-1/n, where the sign is -1 iff n is prime.at n=10A114998
- Smaller of two consecutive Sophie Germain primes with the same digital sum.at n=32A118506
- Numbers k such that (3^k + 4^k)/7 is prime.at n=12A128066
- Primes of the form 210k + 23.at n=33A140844
- Primes congruent to 15 mod 41.at n=33A142212
- Primes congruent to 4 mod 43.at n=37A142253
- Primes congruent to 21 mod 47.at n=36A142372
- Primes congruent to 37 mod 49.at n=37A142445