11353
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11354
- 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
- 11352
- Möbius Function
- -1
- Radical
- 11353
- 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
- 42
- 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
- 1372
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=43A003154
- Number of partitions of an n-set into boxes of size >2.at n=11A006505
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=20A023286
- Numerators of continued fraction convergents to sqrt(591).at n=7A042132
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=22A052357
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=28A054808
- Numbers k such that (12^k + 1)/13 is a prime.at n=5A057178
- Primes p such that x^43 = 2 has no solution mod p.at n=31A059243
- Primes such that the sum of the squares of its digits is equal to the product of its digits.at n=0A067779
- Smallest multidigit prime such that the sum of the squares of its digits is equal to n times the product of its digits, or 0 if no such prime exists.at n=0A067791
- Smallest integer >= 0 of the form x^3 - n^4.at n=39A070930
- Numerator of Sum_{k=1..n} phi(k)/k^4.at n=3A072160
- Primes in A003154.at n=24A083577
- Irregular primes whose indices are irregular primes of order one.at n=30A090869
- Diagonal sums of binomial-Möbius product.at n=13A101510
- Primes from merging of 5 successive digits in decimal expansion of (Pi^2).at n=3A104928
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=39A116015
- 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=36A117477
- Primes p such that their cubes are pandigital.at n=5A124629
- Primes of the form 13x^2+105y^2.at n=38A140020