Properties of the Number 89293

Eighty-Nine Thousand Two Hundred Ninety-Three

Basics

Value: 89292 → 89293 → 89294

Parity: odd

Prime: Yes

Previous Prime: 89273

Next Prime: 89303

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 89293

Divisors: 1, 89293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110011001101

Octal: 256315

Duodecimal: 43811

Hexadecimal: 15ccd

Square: 7973239849

Square Root: 298.8193434167206

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210174

a(1) = 2; for n > 1, a(n) is the smallest prime > a(n-1) such that each successive digit in the concatenation of terms (that does not follow 9) is greater than the previous digit. A68827

Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210169

Expansion of ∏_k>=1 1/(1 - k·x^k/(1 - x)^k). A307261

Number of (n+1)X(n+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210166

Sum of digits in the mixed-base enumeration system n=...d(4)d(3)d(2)d(1), where the digits satisfy 0<=d(i)<=1 if i is odd, 0<=d(i)<=2 if i is even. A89293

Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero. A301665