Properties of the Number 23301

Twenty-Three Thousand Three Hundred One

Basics

Value: 23300 → 23301 → 23302

Parity: odd

Prime: No

Previous Prime: 23297

Next Prime: 23311

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 863

Divisors: 1, 3, 9, 27, 863, 2589, 7767, 23301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101101100000101

Octal: 55405

Duodecimal: 11599

Hexadecimal: 5b05

Square: 542936601

Square Root: 152.6466507985026

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 compositions (ordered partitions) of n into squares. A6456

Expansion of (theta₃(x) - 1)² / (2 * (3 - theta₃(x))). A347805

G.f. A(x) satisfies: A(x) = 1 / ((1 + x) * (1 - x·A(x)⁴)). A349300

a(n) = (4·n³ + 12·n² - 4·n + 3)/3. A322594

Expansion of (theta₃(x) - 1)³ / (4 * (3 - theta₃(x))). A347806

Expansion of (theta₃(x) - 1)⁴ / (8 * (3 - theta₃(x))). A347807

a(n) = ∑_d∣n d²*2^d-1*(n/d-1) for n > 0. A77272

Trajectory of 318 under the Reverse and Add! operation carried out in base 4, written in base 10. A75153

Primes that remain prime through 3 iterations of function f(x) = 10x + 9. A23301

Number of (n+1) X 5 0..3 arrays with every 2 X 2 subblock having one or two distinct values, and new values 0..3 introduced in row major order. A209844