Properties of the Number 5757

Five Thousand Seven Hundred Fifty-Seven

Basics

Value: 5756 → 5757 → 5758

Parity: odd

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 101

Divisors: 1, 3, 19, 57, 101, 303, 1919, 5757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001111101

Octal: 13175

Duodecimal: 33B9

Hexadecimal: 167d

Square: 33143049

Square Root: 75.87489703452651

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

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306

Partial sums of A000141. A175361

a(n) = (Sum{k=0..n-1} a(k)) - a(n-3), with a(0)=0, a(1)=0, a(2)=1. A49856

a(n) = ∑_{i+j=n, i,j >= 1} τ(i)*σ(j), where τ() = A000005(), σ() = A000203(). A191831

Numbers k with digits 5 and 7 only. A284380

Number of lattice points inside or on the 6-dimensional hypersphere x₁² + x₂² + x₃² + x₄² + x₅² + x₆² = 10ⁿ. A373884

a(n) = 16·n² - n. A157446

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 541", based on the 5-celled von Neumann neighborhood. A272805

Least k such that k·10ⁿ +/- 1 are twin primes. A64218