13537
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13538
- 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
- 13536
- Möbius Function
- -1
- Radical
- 13537
- 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
- 63
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1603
- 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) = 4x + 3.at n=31A023281
- Primes that remain prime through 4 iterations of function f(x) = 4x + 3.at n=7A023311
- A024723(n+3)/2.at n=17A024724
- Primes with property that when cubed all even digits occur together and all odd digits occur together.at n=24A030482
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 25.at n=3A031613
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=7A052357
- Expansion of 1/(1 - 2*x^3 - x^4).at n=32A052922
- Primes p such that x^47 = 2 has no solution mod p.at n=36A059257
- Numbers k such that 35^k - 34^k is prime.at n=5A062601
- Numbers k such that (10^k - 1) - 7*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=10A077778
- Primes in A003154.at n=27A083577
- Primes of the form 16*m^2 + 81, m=1,2,3,...at n=7A087861
- a(n) is the least k such that A098598(k) = n.at n=14A097208
- Expansion of (1-x^2)/(1-2*x^2+4*x^3+x^4).at n=16A117413
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=31A125146
- Prime numbers, isolated from neighboring primes by more than 12.at n=32A137873
- Primes of the form 2*3*5*7*k + 97.at n=34A141899
- Primes congruent to 7 mod 41.at n=41A142204
- Primes congruent to 35 mod 43.at n=37A142284
- Primes congruent to 13 mod 49.at n=38A142425