11348
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19866
- Proper Divisor Sum (Aliquot Sum)
- 8518
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5672
- Möbius Function
- 0
- Radical
- 5674
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Shallit sequence S(14,23), a(n)=[ a(n-1)^2/a(n-2)+1 ].at n=13A010923
- Variation of Stechkin's function, A055004.at n=14A062827
- Let C(n) = product of composite numbers between the n-th prime and (n+1)-th prime; a(n) = floor(C(n+1)/C(n)).at n=24A073836
- Smallest number k such that sopf(k)/digsum(k) = prime(n) where sopf(k) is the sum of the distinct primes dividing k and digsum(k) the sum of digits of k.at n=38A241049
- Triangle read by rows, Bell transform of second order Bell numbers (A187761).at n=38A264430
- Number of (2n+1) X (2n+1) black-and-white mirror-symmetric grids that are legal for crossword puzzles.at n=4A325408
- a(n) is the largest number that can be expressed as the sum of three triangular numbers in exactly n ways.at n=11A330810
- a(n) is the largest number that can be expressed as the sum of three positive triangular numbers in exactly n ways.at n=12A330811
- Maximum length of a finite snake in the Snake Number Problem with n-periodic instructions in an infinite square grid (see Comments).at n=11A353176
- a(0) = 1; thereafter a(n) = 2*(6*n^2 - 3*n + 1).at n=31A386477