8677
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8678
- 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
- 8676
- Möbius Function
- -1
- Radical
- 8677
- 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
- 78
- 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
- 1080
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of factorization patterns of polynomials of degree n over F_3.at n=20A006168
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=12A031824
- Multiplicity of highest weight (or singular) vectors associated with character chi_3 of Monster module.at n=51A034391
- Primes whose sum of digits is the perfect number 28.at n=18A048517
- Digitally balanced numbers in both bases 2 and 3.at n=19A049361
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=20A049493
- a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=8A049494
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=13A056217
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=52A068896
- Final terms of groups in A075639.at n=45A075642
- a(n) = prime(n*(n+1)/2 + n).at n=44A078723
- a(1) = 1 and then the smallest primes such that all a(k)-a(j) are distinct composite numbers.at n=41A079850
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=6A082059
- Primes p of the form 2*prime(k) + 3 such that 2*prime(k+1) + 3 is the next prime after p.at n=23A089528
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=35A090607
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=18A092475
- Primes from merging of 4 successive digits in decimal expansion of the Euler-Mascheroni constant A001620.at n=4A104938
- Primes with minimal digit = 6.at n=17A106106
- Primes having only {6, 7, 8, 9} as digits.at n=30A106111
- Primes p such that little googol + p is prime.at n=19A108255