11133
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16094
- Proper Divisor Sum (Aliquot Sum)
- 4961
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7416
- Möbius Function
- 0
- Radical
- 3711
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=31A001103
- Number of n X 4 binary matrices under row and column permutations and column complementations.at n=10A006382
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=32A020421
- Numbers k such that 215*2^k+1 is prime.at n=8A032484
- Numbers having only digits 1 and 3 in their decimal representation.at n=33A032917
- Numbers with multiplicative digital root value 9.at n=21A034056
- Positive numbers for which the sum of digits equals the product of digits.at n=29A034710
- Numbers divisible by the sum and product of their digits.at n=46A038186
- Product of digits of n is a nonzero single-digit square.at n=48A050627
- Product of the digits of n divides the sum of the digits of n.at n=43A055931
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=31A058952
- Numbers with all odd digits, in which each digit divides the number formed by the rest, i.e., the number obtained by just removing this digit.at n=40A061507
- Smallest positive number formed by a set of digits whose product = sum of the digits.at n=13A061672
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=32A064158
- Nonprimes whose sum of digits is equal to its product of digits.at n=22A066307
- Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed.at n=12A066484
- Smallest nontrivial multiple of n whose nonzero digit product is the same as that of the nonzero digit product of n. By nontrivial one means a(n) is not equal to n or (10^k)*n. 0 if no such number exists.at n=8A087304
- a(n) = n^3 + n^2 + 1.at n=22A098547
- List of Lyndon words on {1,2,3} sorted first by length and then lexicographically.at n=37A102660
- Numbers n such that both numbers n/(d_1*d_2* ...*d_k) and n/(d_1+d_2+ ... +d_k) are prime, where d_1 d_2 ... d_k is the decimal expansion of n.at n=0A107650