8765
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10524
- Proper Divisor Sum (Aliquot Sum)
- 1759
- 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
- 7008
- Möbius Function
- 1
- Radical
- 8765
- 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
- 78
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=22A020384
- n written in fractional base 9/8.at n=32A024656
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=14A031947
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=14A049357
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 13.at n=18A051978
- Smallest available integer which fits into the repeating pattern 9876543210.at n=35A098756
- Semiprimes with consecutive digits.at n=15A118697
- Numbers k such that k and k^2 use only the digits 2, 5, 6, 7 and 8.at n=23A137111
- Nonnegative numbers with digits in descending order that differ exactly by 1.at n=32A138142
- Numbers k for which (10+k!)/10 is prime.at n=21A139071
- Start with 0; then add one to each single digit.at n=35A158699
- Positive numbers y such that y^2 is of the form x^2+(x+337)^2 with integer x.at n=6A159574
- A (-1,-3) Somos-4 sequence associated to y^2 + y = x^3 + 4*x^2 + x.at n=7A178377
- Number of nondecreasing sequences of 5 1..n integers with no element dividing the sequence sum.at n=16A212872
- Semiprimes with digits in descending order that differ exactly by 1.at n=10A215478
- Triangle T(n, k) = Numbers of inequivalent (mod D_3) ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle of any orientation. Triangle read by rows.at n=46A243141
- Number of inequivalent (mod D_3) ways to place 4 points on a triangular grid of side n so that they are not vertices of an equilateral triangle of any orientation.at n=5A243143
- Numbers m > 1 such that the fractional part of log_10(m!) is greater than at any smaller m > 1.at n=8A250022
- The decimal values of binary sequences representing the "bits" form of adjacency matrices of non-isomorphic tournament graphs.at n=26A256373
- Number of terms of A072873 less than or equal to 10^n.at n=33A267757