Properties of the Number 54504

Fifty-Four Thousand Five Hundred Four

Basics

Value: 54503 → 54504 → 54505

Parity: even

Prime: No

Previous Prime: 54503

Next Prime: 54517

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 757

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010011101000

Octal: 152350

Duodecimal: 27660

Hexadecimal: d4e8

Square: 2970686016

Square Root: 233.46091750012462

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

Numbers k such that k divides the sum of digits of all numbers from 1 to k. A114136

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array. A217982

Coefficients of modular function denoted G₅(τ) by Atkin. A186210

Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..1 introduced in row major order. A208084

Number of 8 X (n+1) 0..1 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..1 introduced in row major order. A208089

Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nX6 array. A217980

Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 n X n array. A217977

Numbers n such that Mordell's equation y² = x³ + n has no integral solutions. A54504

G.f. A(x) satisfies the condition that both A(x) and F(x) = A(x/F(x)²) have zeros for every other coefficient after initial terms; g.f. of dual sequence A157304 satisfies the same condition. A157307

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..1 introduced in row major order. A208085