Properties of the Number 53337

Fifty-Three Thousand Three Hundred Thirty-Seven

Basics

Value: 53336 → 53337 → 53338

Parity: odd

Prime: No

Previous Prime: 53327

Next Prime: 53353

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 773

Divisors: 1, 3, 23, 69, 773, 2319, 17779, 53337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000001011001

Octal: 150131

Duodecimal: 26A49

Hexadecimal: d059

Square: 2844835569

Square Root: 230.94804610561224

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4. A197457

The sum of the numbers on straight lines of incrementing length n when drawn over numbers of the square spiral, where each line contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one line. If two or more lines exist with the same sum the one containing the smallest number is chosen. A340974

G.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ / (A(x) + n·x)ⁿ. A211207

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4. A197453

Number of n X 7 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4. A197455

Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253218

a(n) contains n digits (either '6' or '7') and is divisible by 2ⁿ. A53337

Integers k such that k² is of form y² + y + x² + x for positive y, x. A235375