9679
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9680
- 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
- 9678
- Möbius Function
- -1
- Radical
- 9679
- 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
- 166
- 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
- 1195
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the NSW number A002315((p-1)/2) is prime.at n=16A005850
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=20A020431
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=26A031595
- Recursive prime generating sequence.at n=46A039726
- Numbers k such that k^18 == 1 (mod 19^3).at n=25A056089
- Primes starting and ending with 9.at n=18A062335
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2.at n=10A067975
- Prime(n) and prime(n+2) use the same digits.at n=16A069794
- Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.at n=40A069833
- Primes that are a concatenation of a prime and its first digit.at n=26A085414
- Indices of prime companion Pell numbers, divided by 2 (A001333).at n=20A099088
- Upper bound of twin prime pairs whose digital reverse is prime.at n=41A101782
- Primes with minimal digit = 6.at n=23A106106
- Primes having only {6, 7, 8, 9} as digits.at n=39A106111
- Primes with digit sum = 31.at n=9A106767
- Primes p such that 6p + 7 is a square.at n=33A110014
- Primes among partial sums of floor(Pi*prime(k)), k=1,2,3,....at n=3A117503
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=12A119596
- Emirps starting and ending with composite digit 9.at n=5A128374
- a(n) = 5*n^2 - 1.at n=43A134538