Properties of the Number 2776

Two Thousand Seven Hundred Seventy-Six

Basics

Value: 2775 → 2776 → 2777

Parity: even

Prime: No

Previous Prime: 2767

Next Prime: 2777

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 347

Divisors: 1, 2, 4, 8, 347, 694, 1388, 2776

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101011011000

Octal: 5330

Duodecimal: 1734

Hexadecimal: ad8

Square: 7706176

Square Root: 52.687759489277965

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 partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n. A23893

a(n) = 1 + n + 2·n². A84849

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

Number of set partitions of multiset {1, 2, 2, 3, 3, 3, ..., n X n}. A317829

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250797

Number of leaf-balanced trees with n nodes. A291443

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283857

Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, when flattened, equals this flattened form of the original triangle. A92686

25-gonal numbers: a(n) = n*(23·n-21)/2. A255184

T(n,k)=Number of length-n 0..k arrays with no adjacent pair x,x+1 followed at any distance by x+1,x. A268457