11311
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11312
- 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
- 11310
- Möbius Function
- -1
- Radical
- 11311
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- 1367
- 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=23A002385
- Palindromic reflectable primes.at n=8A007616
- Consider all ways of writing a number as p+2m^2 where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number.at n=11A016067
- Primes that contain digits 1 and 3 only.at n=13A020451
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=11A023287
- Smallest prime formed by appending a number to the n-th prime.at n=29A030670
- Lesser of two consecutive palindromes, both of which are prime.at n=6A032593
- Numbers having only digits 1 and 3 in their decimal representation.at n=34A032917
- Numbers with multiplicative digital root value 3.at n=12A034050
- Base 10 palindromes that start with 1.at n=35A043036
- Numbers having four 1's in base 10.at n=22A043496
- Multiplicative primes: product of digits is a prime.at n=22A046703
- Palindromic primes whose product of digits is a prime.at n=6A046705
- Multiplicative and additive primes: primes where the product and sum of digits are also prime.at n=13A046713
- a(n+1) is next smallest prime beginning with a(n), initial prime is 11.at n=2A048553
- Numbers n such that 85*2^n-1 is prime.at n=12A050568
- Palindromic primes containing at least one pair of consecutive equal digits.at n=1A050786
- Palindromic primes whose sum of squared digits is also prime.at n=10A052035
- Numbers n such that sum of digits and product of digits are both prime.at n=20A052430
- Palindromic primes of the form 'primemirp' resulting from A054217.at n=8A054218