Properties of the Number 9749

Nine Thousand Seven Hundred Forty-Nine

Basics

Value: 9748 → 9749 → 9750

Parity: odd

Prime: Yes

Previous Prime: 9743

Next Prime: 9767

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 9749

Divisors: 1, 9749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010101

Octal: 23025

Duodecimal: 5785

Hexadecimal: 2615

Square: 95043001

Square Root: 98.73702446397704

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

Primes from merging of 4 successive digits in decimal expansion of π. A104824

Number of partitions of n in which the greatest part is 8. A26814

Primes from merging of 5 successive digits in decimal expansion of π. A104825

Number of chord diagrams with n chords; number of pairings on a necklace. A7769

Lower prime of a difference of 18 between consecutive primes. A31936

Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321. A51402

Discriminants of real quadratic fields with form class number 3. A391421

T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors. A200886

Primes of the form k² + (k+1)² + (k+2)² = 3*(k+1)²+2. A27864

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401