11773
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12028
- Proper Divisor Sum (Aliquot Sum)
- 255
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11520
- Möbius Function
- 1
- Radical
- 11773
- Omega Function (Ω)
- 2
- 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
- 174
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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 the continued fraction for sqrt(k) has period 39.at n=20A020378
- Numerators of continued fraction convergents to sqrt(875).at n=11A042690
- Smallest value of x such that M(x) = n, where M() is Mertens's function A002321.at n=41A051400
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 11.at n=13A051976
- Composite numbers not divisible by 2 or 3 which in base 3 contain their largest proper factor as a substring.at n=16A063132
- Sum_{i for which n - i*(i-1)/2 >= 0} binomial (n - i*(i-1)/2, i).at n=26A063978
- Permutation of N induced by rotating the node 5 right in the infinite planar binary tree shown at A065658.at n=19A065668
- a(n) = 9*n^2 + 3*n + 1.at n=36A082040
- a(n) = 16*n^2 + 4*n + 1.at n=27A082041
- Products of two primes that are not Chen primes.at n=33A115719
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=41A116015
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=28A119959
- (1/4)*number of nonsquare rectangles with corners on an n X n grid of points.at n=16A122225
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1100-0111-0110 pattern in any orientation.at n=10A146667
- a(n) = 841*n - 1.at n=13A158402
- a(n) = 14*n^2 - 1.at n=28A158485
- Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways.at n=12A180089
- Smallest positive integer k (or 0 if no such k) with conjecturally exactly n primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.at n=42A226662
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=26A234692
- Nonprimes such that it takes exactly 3 iterations of reverse-and-add digits to generate a prime.at n=35A245208