8317
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8318
- 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
- 8316
- Möbius Function
- -1
- Radical
- 8317
- 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
- 52
- 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
- 1044
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of trees of diameter 4.at n=32A000094
- Number of binary tree partitions.at n=9A006365
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=17A031820
- Number of 6 X 6 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.at n=8A056037
- Triangle T(n,k) of n X n binary matrices with k ones, with no zero rows or columns, up to row and column permutation.at n=74A057149
- Number of irreducible representations of the symmetric group S_n that have even degree.at n=31A060368
- Numbers p from A001125 such that 2*p-3 is prime.at n=13A063939
- a(n) is the smallest prime p such that p and the next n-1 primes are all == 1 (mod 12).at n=2A068232
- Centered 22-gonal numbers.at n=27A069173
- Least prime p introducing prime-difference pattern {d, 2*d}, where d = 2*n, i.e., {p, p+2*n, p+2*n+4*n} = {p, p+2*n, p+6*n} are consecutive primes.at n=5A079011
- Primes arising in A083989.at n=11A083990
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=34A086103
- Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse.at n=10A088544
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=40A089613
- a(1) = 1; then primes associated with A091850.at n=27A091851
- Primes from merging of 4 successive digits in decimal expansion of Zeta(2) or (Pi^2)/6.at n=14A105377
- Primes p such that the polynomial x^4-x^3-x^2-x-1 mod p has 4 distinct zeros.at n=32A106280
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=6A106300
- Primes connected to two primes by the (p+1)/2 and 2p-1 operators.at n=21A109835
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=28A112998