Properties of the Number 2775

Two Thousand Seven Hundred Seventy-Five

Basics

Value: 2774 → 2775 → 2776

Parity: odd

Prime: No

Previous Prime: 2767

Next Prime: 2777

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 37

Divisors: 1, 3, 5, 15, 25, 37, 75, 111, 185, 555

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010111

Octal: 5327

Duodecimal: 1733

Hexadecimal: ad7

Square: 7700625

Square Root: 52.67826876426369

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

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Number of compositions (ordered partitions) of n that are concave-down sequences. A70211

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

Numbers m that are the hypotenuse of exactly 7 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 7 ways. A97101

Number of compositions of n with strictly increasing differences. A325547

Odd triangular numbers. A14493

a(n) = (2·n-1)*(4·n-1). A33567

Number of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

The first of three consecutive triangular numbers the sum of which is equal to the sum of three consecutive primes. A298168

Positive integers not expressible as the sum of a prime and a triangular number. A76768