Properties of the Number 1337

One Thousand Three Hundred Thirty-Seven

Basics

Value: 1336 → 1337 → 1338

Parity: odd

Prime: No

Previous Prime: 1327

Next Prime: 1361

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 191

Divisors: 1, 7, 191, 1337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111001

Octal: 2471

Duodecimal: 935

Hexadecimal: 539

Square: 1787569

Square Root: 36.565010597564445

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

List of codewords in binary lexicode with Hamming distance 4 written as decimal numbers. A75928

Multiples of 7 containing a 7 in their decimal representation. A121027

Convolution of primes with themselves. A14342

Numbers k whose largest divisor <= sqrt(k) equals 7. A162527

Numbers where 3 outnumbers any other digit. A292453

Dispersion of (3·n-1), read by antidiagonals. A191450

Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x+2x²)ⁿ for n >= 0. A84600

Square array A by downward antidiagonals: A(n,k) = (3 + 3ⁿ*(2·floor(3·k/2) - 1))/6, n,k >= 1; read as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254051

Postludic numbers: Second column of Ludic array A255127. A254100

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4. A239405