Properties of the Number 9738

Nine Thousand Seven Hundred Thirty-Eight

Basics

Value: 9737 → 9738 → 9739

Parity: even

Prime: No

Previous Prime: 9733

Next Prime: 9739

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 541

Divisors: 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000001010

Octal: 23012

Duodecimal: 5776

Hexadecimal: 260a

Square: 94828644

Square Root: 98.68130522039117

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 read by rows where T(n,k) is the number of labeled loop-graphs on n vertices with k loops and n-k non-loops such that it is possible to choose a different vertex from each edge. A368924

Triangle read by rows: Take an equilateral triangle with all diagonals drawn, as in A092867. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+2 and where n is the number of equal parts each side is divided into. A331911

G.f. A(x) satisfies -1/x = ∑_n=-oo..+oo A(x)ⁿ * xⁿ * (1 - xⁿ)ⁿ⁺². A384821

Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.) A241339

Numbers n such that n^k is zeroless for k=0,...,6. A253647

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300646

Expansion of 1/((1-x)³*(1-x²)²*(1-x³)). A2625

Number of trees of diameter 5. A147

Number of primes between successive Fibonacci numbers exclusive. A52011

Number of primes between successive Fibonacci numbers inclusive. A76777