Properties of the Number 9731

Nine Thousand Seven Hundred Thirty-One

Basics

Value: 9730 → 9731 → 9732

Parity: odd

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 37 × 263

Divisors: 1, 37, 263, 9731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000000011

Octal: 23003

Duodecimal: 576B

Hexadecimal: 2603

Square: 94692361

Square Root: 98.6458311334037

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 of integer partitions of n whose number of submultisets is less than or equal to n. A325834

The smallest magic constant of an n X n magic square with distinct prime entries. A164843

T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing. A224050

Third row of Pascal-(1,4,1) array A081579. A81587

Number of partitions p of n such that (sum of parts with multiplicity 1) <= (sum of all other parts). A240449

a(n) = 8·n² - 2·n + 1. A185438

Irregular array read by rows in which row n lists the positive integers k in ascending order for which 1 is in a primitive cycle of n positive integers under iteration by the Collatz-like 3x+k function. A226618

Number of peaks in all bargraphs having semiperimeter n (n>=2). A271941

Odd digits in decreasing order. A119252

Apply partial sum operator twice to sequence of squares of the first n primes. A157492