Properties of the Number 1077

One Thousand Seventy-Seven

Basics

Value: 1076 → 1077 → 1078

Parity: odd

Prime: No

Previous Prime: 1069

Next Prime: 1087

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 359

Divisors: 1, 3, 359, 1077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110101

Octal: 2065

Duodecimal: 759

Hexadecimal: 435

Square: 1159929

Square Root: 32.817678162843876

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 separable partitions of n; see Comments. A325534

Number of (weakly) unimodal compositions of n where all parts 1, 2, ..., m appear where m is the largest part. A227038

Numbers k such that k² has an odd number of digits and the middle digit is 9. A279429

Column 0 of triangular matrix A102220, which equals [2·I - A008459]^-1. A102221

Numbers where 7 outnumbers any other digit. A292457

Numbers k such that k!!! + 1 is prime (0 is included by convention). A37083

a(n) = (n² + 5·n - 2)/2. A46691

T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k. A241619

Number of integer partitions of n covering an initial interval of positive integers with non-unimodal run-lengths. A332579

Numbers whose minimal (or greedy) Lucas representation (A130310) is palindromic. A351712