8791
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
- 4
- Divisor Sum
- 9000
- Proper Divisor Sum (Aliquot Sum)
- 209
- 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
- 8584
- Möbius Function
- 1
- Radical
- 8791
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite SGT = Sigma-2 [Si64O128].4R starting with a T1 atom.at n=12A019235
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=37A020401
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 23 ones.at n=0A031791
- Denominators of continued fraction convergents to sqrt(742).at n=8A042429
- Number of nonnegative integer 6 X 6 matrices with sum of elements equal to n, under row and column permutations.at n=9A052372
- Number of n-celled diagonally symmetric polyominoes without holes.at n=19A056881
- Composite numbers whose divisors (except 1) all contain the digit 9.at n=11A062680
- Odd composite numbers which in base 2 contain their largest proper factor as a substring of digits.at n=20A063131
- Composite numbers not divisible by 2, 3, 5 or 7 which in base 2 contain their largest proper factor as a substring.at n=16A063138
- Composite numbers not divisible by 2 which in base 4 contain their largest proper factor as a substring.at n=5A063145
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+569)^2 = y^2.at n=5A101152
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and k protected vertices (0<=k<=n-1). A protected vertex in an ordered tree is a vertex at least 2 edges away from its leaf descendants.at n=55A143362
- Number of ordered trees with n edges and having no protected vertices. A protected vertex in an ordered tree is a vertex at least 2 edges away from its leaf descendants.at n=11A143363
- a(n) = 10*n^2 - 7*n + 1.at n=30A158186
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=25A163562
- Numbers k such that tau(k-1) = (tau(k))^2 = tau(k+1), where tau(k) = A000005(k) (number of divisors of k).at n=32A190266
- The difference prime(i)+prime(i+1)+...+prime(i+n-1)-A002110(n), where prime(i) is the smallest prime such that the value is nonnegative.at n=50A196130
- Number of zero-sum -n..n arrays of 4 elements with first and second differences also in -n..n.at n=19A201875
- The least number with exactly n ones in the continued fraction of its square root.at n=23A206578
- The Wiener index of the straight pentachain of n pentagonal rings (see Fig. 2.1 in the A. A. Ali et al. reference).at n=14A224459