Properties of the Number 26789

Twenty-Six Thousand Seven Hundred Eighty-Nine

Basics

Value: 26788 → 26789 → 26790

Parity: odd

Prime: No

Previous Prime: 26783

Next Prime: 26801

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 × 43 × 89

Divisors: 1, 7, 43, 89, 301, 623, 3827, 26789

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100010100101

Octal: 64245

Duodecimal: 13605

Hexadecimal: 68a5

Square: 717650521

Square Root: 163.67345539213133

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^prime(n-1) mod prime(n)². A196202

Smallest number with n = sum of distinct digits in decimal representation, cf. A217928. A227378

G.f.: ∑_k>=0 x^k² * ∏_j=1..k ((1 + x^j)/(1 - x^j))². A376854

a(n) = ∑_k=0..n-3 T(n,k)*T(n,k+3), T given by A026736. A27218

Look at the first 10 digits of the sequence: they are all different. The same for the next 10. And the next 10, etc. This sequence is the slowest increasing one with that property. A97912

Numbers that set a new integer record for the ratio between the product and the sum of their digits. A240520

Append three digits, each increasing by one modulo 10 from the last digit of the nonnegative integers. 0 -> 123, 1 -> 1234 2 -> 2345, ... , 9 -> 9012, 10 -> 10123, etc. A167231

Numbers k such that (82·10^k + 449)/9 is prime. A282809

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026780. A26789

Decimal expansion of 2⁴⁴⁴⁹⁷ - 1, the 27th Mersenne prime A000668(27). A275984