Properties of the Number 57978

Fifty-Seven Thousand Nine Hundred Seventy-Eight

Basics

Value: 57977 → 57978 → 57979

Parity: even

Prime: No

Previous Prime: 57977

Next Prime: 57991

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 3221

Divisors: 1, 2, 3, 6, 9, 18, 3221, 6442, 9663, 19326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110001001111010

Octal: 161172

Duodecimal: 29676

Hexadecimal: e27a

Square: 3361448484

Square Root: 240.7862122298534

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

Strictly superdiagonal compositions: compositions (p1, p2, p3, ...) of n such that π > i. A238874

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order. A50791

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252952

Numbers n such that 243·2ⁿ-1 is prime. A50880

a(0)=1, a(m+1) = ∑_k=0..m[a(k)² * a(m-k)²]. A53294

Number of (n+2)X(2+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252946

Number of (n+2)X(4+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252948

Number of untouchable numbers <= 10ⁿ. A57978