Properties of the Number 2779

Two Thousand Seven Hundred Seventy-Nine

Basics

Value: 2778 → 2779 → 2780

Parity: odd

Prime: No

Previous Prime: 2777

Next Prime: 2789

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 397

Divisors: 1, 7, 397, 2779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011011011

Octal: 5333

Duodecimal: 1737

Hexadecimal: adb

Square: 7722841

Square Root: 52.716221412388805

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

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 106) or the same sequence for the mesh patterns (12, 122), (12, 142), (12, 158), (12, 172), (12, 188), (12, 226), (12, 242). A289453

Number of partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Expansion of 1/(1 - x - x² + x⁶ - x⁸). A225393

A B₂ sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct. A25582

Compound filter: a(n) = T(A001511(n), A046523(n)), where T(n,k) is sequence A000027 used as a pairing function. A286161

Indices of squares (of primes) in the semiprimes. A128301

Composite and every divisor (except 1) contains the digit 7. A62676

Number of integer partitions of n such that (length) * (maximum) <= 2·n. A361851

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 4 multiples of n-1, n-2, ..., 1, for n>=1. A112558

Composites whose prime factorization in base 2 is an anagram of the number in base 2. A260046