Properties of the Number 23545

Twenty-Three Thousand Five Hundred Forty-Five

Basics

Value: 23544 → 23545 → 23546

Parity: odd

Prime: No

Previous Prime: 23539

Next Prime: 23549

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 17 × 277

Divisors: 1, 5, 17, 85, 277, 1385, 4709, 23545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101101111111001

Octal: 55771

Duodecimal: 11761

Hexadecimal: 5bf9

Square: 554367025

Square Root: 153.44380078712857

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 (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237511

Downward vertical of triangular spiral in A051682. A81272

Sum of terms in n-th row of A081491. A81492

a(n) = 32·n² - 56·n + 25. A272129

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Totally multiplicative sequence with a(p) = a(p-1) + 8 for prime p. A166705

G.f.: ∑_n>=0 xⁿ / (1-4·x)^2·n+1 * [∑_k=0..n C(n,k)² * 2^k * x^k] * [∑_k=0..n C(n,k)² * 4^k * x^k]. A248053

Numbers k such that the continued fraction for sqrt(k) has period 53. A20392

Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237504

Number of (n+1) X (5+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237508