Properties of the Number 9448

Nine Thousand Four Hundred Forty-Eight

Basics

Value: 9447 → 9448 → 9449

Parity: even

Prime: No

Previous Prime: 9439

Next Prime: 9461

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 1181

Divisors: 1, 2, 4, 8, 1181, 2362, 4724, 9448

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011101000

Octal: 22350

Duodecimal: 5574

Hexadecimal: 24e8

Square: 89264704

Square Root: 97.20082304178294

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

Numbers k such that k⁵¹² + 1 is prime. A57465

McKay-Thompson series of class 8E for the Monster group. A29841

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 4·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367298

Fundamental discriminants of real quadratic number fields with class number 10. A218160

McKay-Thompson series of class 8D for the Monster group. A112143

Number of cycles that are either nonincreasing or of length 1 in all permutations of {1,2,...,n}. A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A186760

G.f.: exp( ∑_n>=1 A064027(n)*xⁿ/n ), where A064027(n) = (-1)ⁿ*∑_d∣n(-1)^d*d². A224364

Smallest number that is the largest value in the Collatz (3x + 1) trajectories of exactly n initial values. (a(n)=0 if no such number exists.) A233293

Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005). A73535

Expansion of q^-1 * (φ(-q) / ψ(q⁴))² in powers of q where φ(), ψ() are Ramanujan θ functions. A131124