Properties of the Number 9744

Nine Thousand Seven Hundred Forty-Four

Basics

Value: 9743 → 9744 → 9745

Parity: even

Prime: No

Previous Prime: 9743

Next Prime: 9749

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 29

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010000

Octal: 23020

Duodecimal: 5780

Hexadecimal: 2610

Square: 94945536

Square Root: 98.71170143402453

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

Triangle T(n,k) = k! * Stirling1(n,k), 1<=k<=n. A48594

Number T(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A255982

Positive integers n such that n¹⁴ + 1 is semiprime (A001358). A104335

Numbers k such that σ(x) = k has exactly 7 solutions. A60663

Numbers of the form p⁴*q·r*s where p, q, r, and s are distinct primes. A179693

Triangle read by rows, the ordered Stirling cycle numbers, T(n, k) = k!* s(n, k); n >= 0 k >= 0. A225479

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. A275142

Primitive terms of A023197: numbers k such that σ(k)/k >= 3, but for every proper divisor, d∣k, d<k, σ(d)/d < 3. A388019

Coefficients of certain polynomials (rising powers). A75181

Sum of the seventh largest parts in the partitions of n into 9 parts. A326467