13523
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13524
- 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
- 13522
- Möbius Function
- -1
- Radical
- 13523
- 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
- 89
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1602
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=29A023297
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=17A023684
- Palindromic primes in base 8.at n=33A029976
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0.at n=6A037660
- Position of the incrementally largest term in continued fraction for Champernowne constant (A030167).at n=10A038705
- Nearest integer to log(n)^sqrt(n).at n=48A062464
- Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553.at n=4A063061
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=36A075707
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=30A125146
- a(1)=2, a(2)=3; a(n)=a(n-2)+s^2, where s^2 is a minimal square such that a(n) is prime and is not already in the sequence.at n=45A127494
- Smallest prime of the form k*prime(n+1)+prime(n) = j*prime(n+2)+prime(n+1) for free integer multipliers k and j.at n=36A129918
- Primes in A023108(n); or Lychrel primes.at n=34A135316
- Father primes of order 11.at n=16A136080
- Primes of the form 2*3*5*7*n+83.at n=34A141570
- Primes congruent to 21 mod 43.at n=40A142270
- Primes congruent to 34 mod 47.at n=36A142385
- Primes congruent to 48 mod 49.at n=39A142455
- Primes congruent to 8 mod 53.at n=33A142538
- Primes congruent to 48 mod 55.at n=36A142635
- Primes congruent to 12 mod 59.at n=27A142739