Properties of the Number 54339

Fifty-Four Thousand Three Hundred Thirty-Nine

Basics

Value: 54338 → 54339 → 54340

Parity: odd

Prime: No

Previous Prime: 54331

Next Prime: 54347

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 59 × 307

Divisors: 1, 3, 59, 177, 307, 921, 18113, 54339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010001000011

Octal: 152103

Duodecimal: 27543

Hexadecimal: d443

Square: 2952726921

Square Root: 233.10727144385694

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

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)*π*n^3/2, P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives A(A000092(n)). A413

Expansion of e.g.f. exp(x·exp(-x * (exp(-x) - 1))). A362246

9-fold convolution of A000302 (powers of 4). A54339

Antidiagonally reading the array, formed via: first, writing the primes in the first row (row₁), and forming all successive rows' elements using the previous rows' elements as: row₂(j) = row₁(j)*row₁(j+1) - row₁(j) - row₁(j+1), and so on. The first 'column' of the array, 2 1 -1 -1 -1 -1 -1 -1 ... is converted to its absolute value. A165401