Properties of the Number 89273

Eighty-Nine Thousand Two Hundred Seventy-Three

Basics

Value: 89272 → 89273 → 89274

Parity: odd

Prime: Yes

Previous Prime: 89269

Next Prime: 89293

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 89273

Divisors: 1, 89273

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110010111001

Octal: 256271

Duodecimal: 437B5

Hexadecimal: 15cb9

Square: 7969668529

Square Root: 298.7858765069059

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

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), n>=0, ceiling((sqrt(1+8·n)-1)/2)<=k<=n, read by rows. A316292

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns. A316293

G.f. A(x) satisfies A(x) = 1 + x/A(-x·A(x))². A384894

Prime(k), where k divides ∑_i=1..k prime(i)¹⁵. A232848

Fifth column (k=6) of array A078739(n,k) ((2,2)-generalized Stirling2). A89273