9677
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9678
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9676
- Möbius Function
- -1
- Radical
- 9677
- 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
- 60
- 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
- 1194
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Indices of prime Fibonacci numbers.at n=25A001605
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=11A020388
- 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 6.at n=32A031419
- Upper prime of a difference of 16 between consecutive primes.at n=31A031935
- Zeroless primes that remain prime if any digit is deleted.at n=23A034302
- Primes with multiplicative persistence value 5.at n=23A046505
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=17A050966
- Primes remaining prime if any digit is deleted (zeros allowed).at n=28A051362
- Primes p such that x^41 = 2 has no solution mod p.at n=29A059236
- Primes p such that x^59 = 2 has no solution mod p.at n=21A059312
- Lesser of twin primes whose average is 6 times a prime.at n=27A060213
- Numbers k such that 86^k - 85^k is prime.at n=5A062652
- Numbers n such that there are exactly 4 primes p such that floor(n*log(n))+1<=p<=floor((n+1)*log(n+1))-1.at n=0A068362
- Largest n-digit prime whose external digits as well as internal digits form a prime, or 0 if no such number exists.at n=3A077362
- Numbers n such that n and Fibonacci(n) have the same number of divisors.at n=33A080651
- Primes whose 10's complement is a palindrome.at n=42A083017
- Prime indices of prime Fibonacci numbers.at n=24A083668
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=27A089634
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=31A094454
- Row sums of triangle A096815, in which A096815(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and k.at n=17A096816