Properties of the Number 8357

Eight Thousand Three Hundred Fifty-Seven

Basics

Value: 8356 → 8357 → 8358

Parity: odd

Prime: No

Previous Prime: 8353

Next Prime: 8363

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 61 × 137

Divisors: 1, 61, 137, 8357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010100101

Octal: 20245

Duodecimal: 4A05

Hexadecimal: 20a5

Square: 69839449

Square Root: 91.4166286842826

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

Number of sets (in the Hausdorff metric geometry) at each location between two sets defining a polygonal configuration consisting of two 4-gonal polygonal components chained with string components of length l as l varies. A152929

Sum of 12 nonzero 8th powers. A3390

T(n,k)=Number of white square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230989

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 7, read as a binary number with top and left being the most significant bits. A262319

Number of points in N⁴ of norm <= n. A55403

a(1)= 1; a(2)= 5; thereafter a(n)= a(n-1) + a(n-2) + 5. A166863

T(n,k)=Number of black square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231070

a(n) = ∑_i=0..n digsum₃(i)⁴, where digsum₃(i) = A053735(i). A231505

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 283", based on the 5-celled von Neumann neighborhood. A271117

Records in A065925. A65927