8707
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8708
- 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
- 8706
- Möbius Function
- -1
- Radical
- 8707
- 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
- 140
- 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
- 1085
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nonempty set S containing prime divisors of 5k+2 for each k in S.at n=32A020596
- Smallest nonempty set S containing prime divisors of 10k+4 for each k in S.at n=33A020634
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=27A023274
- Primes that remain prime through 4 iterations of function f(x) = 2x + 5.at n=12A023304
- 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 93.at n=6A031591
- "BGK" (reversible, element, unlabeled) transform of 0,1,1,1,...at n=33A032060
- Numbers k such that 65*2^k+1 is prime.at n=32A032382
- Numerators of continued fraction convergents to sqrt(501).at n=7A041956
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=32A046012
- Primes of the form 4*k^2 + 4*k + 59.at n=38A048988
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=30A050666
- Primes p from A031924 such that A052180(primepi(p)) = 31.at n=4A052237
- Number of primitive (period n) n-bead necklace structures using a maximum of five different colored beads.at n=9A056301
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 8 (most significant digit on right).at n=19A061937
- a(n) = prime(n*(n+1)/2+4).at n=46A078725
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=30A090717
- a(n) = (n+1)*prime(n) + n*prime(n+1).at n=31A097240
- Primes of the form (k+1)*prime(k) + k*prime(k+1).at n=13A097241
- Numerator of Sum_{k=0..[n/2]} 1/binomial(n,k).at n=14A100560
- Numbers k such that 7*10^k + 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A103057