Properties of the Number 89393

Eighty-Nine Thousand Three Hundred Ninety-Three

Basics

Value: 89392 → 89393 → 89394

Parity: odd

Prime: Yes

Previous Prime: 89387

Next Prime: 89399

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 89393

Divisors: 1, 89393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110100110001

Octal: 256461

Duodecimal: 43895

Hexadecimal: 15d31

Square: 7991108449

Square Root: 298.9866217742861

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

The first of three consecutive primes the sum of which is equal to the sum of three consecutive squares. A298223

Numerator of (-1)ⁿ*n!*(E(n,2)-E(n,1)*E(n-1,1)) where E(n,x) = ∑_k=0..n (-1)^k*x^k/k!. A65952

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

Primes of the form 7n² + 10. A201610

Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m). A54802

Smallest n-digit magnanimous prime (A089392), or 0 if there is no such prime with n digits. A89393

Number of 5Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A279712