11489
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11490
- 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
- 11488
- Möbius Function
- -1
- Radical
- 11489
- 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
- 174
- 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
- 1385
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f.: sin(log(1+x)*exp(x)).at n=9A009464
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=11A023277
- Primes that remain prime through 4 iterations of function f(x) = 3x + 2.at n=2A023307
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=31A031820
- Denominators of continued fraction convergents to sqrt(573).at n=6A042099
- Numerators of continued fraction convergents to sqrt(846).at n=8A042632
- Numbers k such that k 1's followed by k is a prime.at n=6A070746
- Largest prime factor of 5^n + 1.at n=8A074478
- Largest prime factor of 5^n - 1.at n=15A074479
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266].at n=6A078849
- Class 6- primes (for definition see A005109).at n=31A081425
- Primes p such that 32p+1 and (p-1)/32 are both prime.at n=2A086476
- Largest prime factor of n^4 + 1.at n=24A096172
- Balanced primes of order twelve.at n=8A096704
- Primes of the form 64n+33.at n=39A105128
- Partial sums of A102540 (primes that are not Chen primes).at n=35A115606
- Emirps with only nonprime digits (i.e., 0, 1, 4, 6, 8, 9).at n=36A128390
- Primes p2 such that p1^2 + p2^3 is an average of twin primes and p1 < p2 are consecutive primes.at n=14A138716
- Primes congruent to 19 mod 37.at n=39A142128
- Primes congruent to 9 mod 41.at n=40A142206