13711
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13712
- 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
- 13710
- Möbius Function
- -1
- Radical
- 13711
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1622
- 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 98 ones.at n=3A031866
- Primes of the form 30*p + 1 where p is also prime.at n=33A051646
- Primes arising in A083754.at n=2A083755
- Prime numbers which when written in base 7 have a composite digit-sum.at n=10A096790
- Numbers n such that 8*10^n + 2*R_n + 7 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=9A103077
- Primes p such that p's set of distinct digits is {1,3,7}.at n=14A108382
- Numbers whose anti-divisors sum to a perfect cube.at n=23A109351
- Primes arising in A113578 as concatenation of terms.at n=2A113579
- Records in A034694.at n=20A120856
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=32A125146
- Records in A066674.at n=17A125879
- Number of 4-indecomposable (connected) graphs on n nodes.at n=20A128526
- The upper twin prime whose lower member has a prime index.at n=32A129782
- Primes of the form 55x^2+10xy+199y^2.at n=22A140632
- Primes of the form 210k + 61.at n=34A140854
- Primes congruent to 21 mod 37.at n=40A142130
- Primes congruent to 17 mod 41.at n=41A142214
- Primes congruent to 37 mod 43.at n=38A142286
- Primes congruent to 34 mod 47.at n=37A142385
- Primes congruent to 40 mod 49.at n=40A142448