13831
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13832
- 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
- 13830
- Möbius Function
- -1
- Radical
- 13831
- 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
- 1635
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=29A002385
- Palindromic reflectable primes.at n=10A007616
- Palindromic lucky numbers.at n=36A031161
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=3A031860
- Lucky numbers that are both palindromic and prime.at n=6A031881
- Lesser of two consecutive palindromes, both of which are prime.at n=8A032593
- Palindromic Super-2 Numbers.at n=24A032750
- a(n) = Sum_{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 1,1,3.at n=16A049866
- Palindromic primes containing no pair of consecutive equal digits.at n=25A050784
- Primes of the form 30*p + 1 where p is also prime.at n=34A051646
- Palindromic primes with strictly increasing digits up to the middle and then strictly decreasing.at n=17A062351
- Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=30A069217
- Primes which can be represented as the sum of a number and its reverse.at n=36A072382
- Numbers n for which there are exactly four k such that n = k + reverse(k).at n=32A072428
- Palindromic primes with nonprime middle digit.at n=12A076613
- Palindromic primes with middle digit 8.at n=4A082444
- Palindromic prime units W appearing twice in first-order fractal palindromic primes WmW.at n=13A082598
- Palindromic primes p with property that another palindromic prime with as many digits can be obtained by using all the digits of p with a different frequency >=1 (every digit is used at least once).at n=8A082807
- a(n) = concatenate(n, A010888(2*n), reverse(n)), where A010888 = digital root.at n=12A082944
- Smallest palindromic number relatively prime to all the previous terms.at n=36A083137