11677
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11678
- 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
- 11676
- Möbius Function
- -1
- Radical
- 11677
- 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
- 218
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1401
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=28A015991
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=15A031423
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=19A031826
- Upper prime of a difference of 20 between consecutive primes.at n=23A031939
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=16A052351
- Number of partitions of n with zero crank.at n=51A064410
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=16A064687
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=27A065215
- Average of four successive primes squared, (prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2)/4, n>=2.at n=25A075894
- Class 6+ primes.at n=10A081634
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=35A100697
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=40A112998
- a(n) = smallest prime number p_k such that 1/p_n + 1/p_{n+1} + ... + 1/p_k > 1.at n=9A119494
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=29A120364
- Primes of the form k^2 + 13.at n=19A138375
- Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).at n=37A138665
- Primes p such that p, p+4 and p+12 are consecutive primes.at n=32A139385
- Primes congruent to 22 mod 37.at n=39A142131
- Primes congruent to 33 mod 41.at n=34A142230
- Primes congruent to 24 mod 43.at n=32A142273