Properties of the Number 1177

One Thousand One Hundred Seventy-Seven

Basics

Value: 1176 → 1177 → 1178

Parity: odd

Prime: No

Previous Prime: 1171

Next Prime: 1181

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 107

Divisors: 1, 11, 107, 1177

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10010011001

Octal: 2231

Duodecimal: 821

Hexadecimal: 499

Square: 1385329

Square Root: 34.307433596816885

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

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of compositions (ordered partitions) of n into distinct parts. A32020

Number of flat partitions of n: partitions {a_i} with each |a_i - a_i-1| <= 1. A34296

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Number of compositions of n whose run-lengths are all equal. A329738

a(n) = 1 + n + 2·n². A84849

Numbers of the form 9·k² + 8·k, k an integer. A218864

Multiples of 11 containing an 11 in their decimal representation. A121031

a(n) = 1 + (n-2)*(n-1)/2. A152947