Properties of the Number 8773

Eight Thousand Seven Hundred Seventy-Three

Basics

Value: 8772 → 8773 → 8774

Parity: odd

Prime: No

Previous Prime: 8761

Next Prime: 8779

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 31 × 283

Divisors: 1, 31, 283, 8773

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001001000101

Octal: 21105

Duodecimal: 50B1

Hexadecimal: 2245

Square: 76965529

Square Root: 93.66429415737889

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239599

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

Numbers n whose square can be represented as a repdigit number in some base less than n. A158235

Row sums of triangle A132870. A132871

Numbers n such that Q(sqrt(n)) has class number 7. A218039

a(n) = ∑_i=0..n digsum₉(i)⁴, where digsum₉(i) = A053830(i). A231687

a(n) = A113290(n,1)/(n+1) for n>=0, where A113290 is the matrix log of triangle A113287. A113291

a(n) = n·F(n+1) - (n+1)*F(n), where F = A000045. A264147

Composite numbers such that all divisors >1 have the same number of 1's in binary representation. A89042

Primitive numbers in A158235. A158245