Properties of the Number 89417

Eighty-Nine Thousand Four Hundred Seventeen

Basics

Value: 89416 → 89417 → 89418

Parity: odd

Prime: Yes

Previous Prime: 89413

Next Prime: 89431

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 89417

Divisors: 1, 89417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101110101001001

Octal: 256511

Duodecimal: 438B5

Hexadecimal: 15d49

Square: 7995399889

Square Root: 299.02675465583343

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

Shifts 9 places left under Euler transform with a(0)=0 and a(n)=1 for n<9. A218026

Discriminants of totally real quintic fields. A23683

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207486

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207492

Least prime whose square contributes to A234429. A247980

Number of length 1+4 0..n arrays with every five consecutive terms having four times some element equal to the sum of the remaining four. A249657

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207488

Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A082333/A082334. A89417

a(n) is the smallest integer m such that sumdigits(m²) = 4ⁿ. A280798