Properties of the Number 26830

Twenty-Six Thousand Eight Hundred Thirty

Basics

Value: 26829 → 26830 → 26831

Parity: even

Prime: No

Previous Prime: 26821

Next Prime: 26833

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 2683

Divisors: 1, 2, 5, 10, 2683, 5366, 13415, 26830

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011001110

Octal: 64316

Duodecimal: 1363A

Hexadecimal: 68ce

Square: 719848900

Square Root: 163.79865689315037

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

Hyperbinomial transform of the sequence of 1's. A88957

Square array A(n,m), n>=0, m>=0, read by antidiagonals: A(n,m) = n-th number of the m-th iteration of the hyperbinomial transform on the sequence of 1's. A144303

Number of partitions p of n such that median(p) <= multiplicity(max(p)). A240208

a(n) = 6·binomial(n,4) + 3·binomial(n,3) + 4·binomial(n,2) - n + 2. A66375

Upper bound on number of regular triangulations of cyclic polytope C(n, n-4). A66456

Triangle T(n, k) read by rows; given by [1, 0, 0, 0, 0, ...] δ [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where δ is Deléham's operator defined in A084938. A85792

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood. A272562

Number of length-n binary words such that every conjugate (cyclic shift) is rich. A306316

Number of partitions of n into distinct parts, the least being 9. A26830

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7. A252266