Properties of the Number 13403

Thirteen Thousand Four Hundred Three

Basics

Value: 13402 → 13403 → 13404

Parity: odd

Prime: No

Previous Prime: 13399

Next Prime: 13411

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 13 × 1031

Divisors: 1, 13, 1031, 13403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001011011

Octal: 32133

Duodecimal: 790B

Hexadecimal: 345b

Square: 179640409

Square Root: 115.77132632910448

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

Number of binary words of length n such that there is at least one 0 and every run of consecutive 0's is of length >= 4. A209231

Number of partitions p of n such that min(p) < (number of parts of p) <= max(p). A325342

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array. A219167

Number of distinct real eigenvalues of n X n matrices with elements {0, 1}. A306793

Number of strict 3rd-order maximal independent sets in path graph. A7384

"Pascal sweep" for k=10: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1). A9550

Number of n X 6 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself. A196015

arcsinh(arcsin(x)-tan(x))=-1/3!*x³-7/5!*x⁵-47/7!*x⁷+3369/9!*x⁹... A13403