Properties of the Number 26385

Twenty-Six Thousand Three Hundred Eighty-Five

Basics

Value: 26384 → 26385 → 26386

Parity: odd

Prime: No

Previous Prime: 26371

Next Prime: 26387

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1759

Divisors: 1, 3, 5, 15, 1759, 5277, 8795, 26385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011100010001

Octal: 63421

Duodecimal: 13329

Hexadecimal: 6711

Square: 696168225

Square Root: 162.43460222501855

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) = 2·a(n-1) + 5·a(n-2) for n > 1; a(0) = 1, a(1) = 5. A123011

Partitions with parts repeated at most twice and repetition only allowed if first part has an even index (first index = 1). A227135

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x)*(sec(x) + tan(x))^k. A322268

Alternating sum of 9-gonal (or decagonal) pyramidal numbers. A269440

Number of ASCII letter 'A' bytes that when compressed with zlib generate a new record longest compressed byte stream. A375585

G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^2ⁿ )...)⁸)⁴)². A120959

Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026374. A26385

a(n) = n⁴/8 if n is even, a(n) = (n²-1)²/8 if n is odd. A212892