Properties of the Number 28777

Twenty-Eight Thousand Seven Hundred Seventy-Seven

Basics

Value: 28776 → 28777 → 28778

Parity: odd

Prime: No

Previous Prime: 28771

Next Prime: 28789

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 × 4111

Divisors: 1, 7, 4111, 28777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000001101001

Octal: 70151

Duodecimal: 147A1

Hexadecimal: 7069

Square: 828115729

Square Root: 169.637849550152

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) = least k such that the remainder when 27^k is divided by k is n. A128367

Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n}, each satisfying X + Y = Z. A2849

Number of binary strings of length n with no substrings equal to 0001 0011 or 1110. A164461

Number of nondecreasing strings of numbers x(i=1..7) in -n..n with sum x(i)³ equal to 0. A188281

T(n, k) = ∑_j=0..k binomial(n, k - j)*Stirling1(n - k + j, j)*(-1)^n-k. Triangle read by rows, T(n, k) for 0 <= k <= n. A341101

Number of 4Xn binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189266

Nonsquares mod 64. A28777