Properties of the Number 26835

Twenty-Six Thousand Eight Hundred Thirty-Five

Basics

Value: 26834 → 26835 → 26836

Parity: odd

Prime: No

Previous Prime: 26833

Next Prime: 26839

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1789

Divisors: 1, 3, 5, 15, 1789, 5367, 8945, 26835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011010011

Octal: 64323

Duodecimal: 13643

Hexadecimal: 68d3

Square: 720117225

Square Root: 163.81391882254695

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) = (n³ + 9·n + 14·n + 9)/3. A322595

Odd composites (including 1 in the count) where the number 3 mod 4 equals the number 1 mod 4. A93181

Number of nondecreasing arrangements of n numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero. A187985

T(n,k) = number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*2^|x(i)| zero. A187988

Triangular array read by rows: T(n,k) = number of partitions of n into distinct parts in which every part is >=k, for k=1,2,...,n. A26835

Odd composites (including 1 in the count) where the number 1 mod 4 equals the number 3 mod 4. A93180

Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal. A93182