11731
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
- 11732
- 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
- 11730
- Möbius Function
- -1
- Radical
- 11731
- 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
- 104
- 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
- 1408
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Partial sums of the partition numbers A000041 of the positive integers.at n=25A026905
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=27A031828
- Initial terms of '4-block' primes as described in A032591.at n=17A032592
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=34A046018
- Primes p such that p-12, p and p+12 are consecutive primes.at n=8A053072
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=23A060261
- a(1) = 7 and then the smallest prime that is obtained by placing digits on both sides of the previous term. Or smallest prime that encompasses a(n-1).at n=2A075599
- a(n) = 10*n^2 + 5*n + 1.at n=34A080860
- Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=11A106281
- Primes p such that p's set of distinct digits is {1,3,7}.at n=10A108382
- Primes whose SOD and that of their indices are both prime and equal (indices may not be prime, but their SOD must be prime).at n=37A117477
- Zeroless numbers for which the sum of the digits and the product of the digits are both Fibonacci numbers.at n=41A117725
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=21A118559
- List of triples of primes with common difference 12.at n=25A128312
- Prime numbers p of the form 10k+1 for which the pentanacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is factorizable into five binomials.at n=2A135843
- Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=12A135846
- Mother primes of order 8.at n=22A136067
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 6 and 7.at n=14A136848
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 6 and 7.at n=10A136979
- Numbers k such that k and k^2 use only the digits 1, 3, 4, 6 and 7.at n=13A137025