8719
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8720
- 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
- 8718
- Möbius Function
- -1
- Radical
- 8719
- 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
- 171
- 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
- 1087
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- 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=7A031591
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones.at n=0A031852
- Smaller of a pair of consecutive lucky numbers with a gap of 2n.at n=18A031884
- Multiplicity of highest weight (or singular) vectors associated with character chi_35 of Monster module.at n=48A034423
- Primes with indices that are primes with prime indices.at n=41A038580
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=23A045306
- Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=8A048959
- Primes prime(k) for which A049076(k) = 3.at n=28A049079
- Revert transform of 2*x*(1 - x + x^6)-x/(1+x).at n=8A049182
- Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).at n=40A057477
- Numbers k>7 such that x^k + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=27A057485
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=12A063055
- Number of inequivalent linear ternary codes of length n with no zero columns. Also the number of nonisomorphic loopless ternary matroids on an n-set.at n=9A076893
- 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=42A086103
- a(n) = ceiling(a(n-1)*4/3), with a(1) = 1.at n=29A087192
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=17A104047
- Number of digits in A110774(n).at n=14A110775
- Numbers n such that the smallest possible number of multiplications required to compute x^n is by 2 less than the number of multiplications obtained by Knuth's power tree method.at n=0A115614
- Smallest number for which Knuth's power tree method produces an addition chain n terms longer than the shortest possible chains for this number.at n=1A115616
- Number of permutations of length n which avoid the patterns 2314, 3142, 4312.at n=8A116777