Properties of the Number 8301

Eight Thousand Three Hundred One

Basics

Value: 8300 → 8301 → 8302

Parity: odd

Prime: No

Previous Prime: 8297

Next Prime: 8311

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 2767

Divisors: 1, 3, 2767, 8301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000001101101

Octal: 20155

Duodecimal: 4979

Hexadecimal: 206d

Square: 68906601

Square Root: 91.10982383914481

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 alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n. A349054

Number of partitions of n containing a clique of size 5. A183562

Sum of the sixth largest parts of the partitions of n into 9 squarefree parts. A326527

Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition). A256530

a(n) = ∑_k=1..n k² * floor(n/k)². A350123

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) <= number of distinct parts of p. A241824

Expansion of ∏_{i>0, j>0, k>0} (1 + x^{i² + j² + k²}). A321429

Number of nonnegative integer matrices with sum of entries equal to n and no zero rows or columns, with distinct row sums and distinct column sums. A321654

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 350", based on the 5-celled von Neumann neighborhood. A287755

Numbers k such that 2·F(k) + 1 is a prime, where F = A000045. A124067