Properties of the Number 1027

One Thousand Twenty-Seven

Basics

Value: 1026 → 1027 → 1028

Parity: odd

Prime: No

Previous Prime: 1021

Next Prime: 1031

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 13 × 79

Divisors: 1, 13, 79, 1027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000000011

Octal: 2003

Duodecimal: 717

Hexadecimal: 403

Square: 1054729

Square Root: 32.046840717924134

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

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Twice partitioned numbers: the number of ways a number can be partitioned into not necessarily different parts and each part is again so partitioned. A63834

Second pentagonal numbers: a(n) = n*(3·n + 1)/2. A5449

Sum of squares of the first n primes. A24450

Numbers that are the sum of 2 positive cubes. A3325

Numbers that are the sum of 4 positive 5th powers. A3349

Discriminants of imaginary quadratic fields with class number 4 (negated). A13658

Numbers that are sums of 2 distinct positive cubes. A24670

"Three-quarter squares": a(n) = n² - A002620(n). A77043