Properties of the Number 9307

Nine Thousand Three Hundred Seven

Basics

Value: 9306 → 9307 → 9308

Parity: odd

Prime: No

Previous Prime: 9293

Next Prime: 9311

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 41 × 227

Divisors: 1, 41, 227, 9307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001011011

Octal: 22133

Duodecimal: 5477

Hexadecimal: 245b

Square: 86620249

Square Root: 96.47279409242795

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

Numerators of the Engel partial sums for L(3, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3. A129660

a(n) = n*(11·n + 3)/2. A254963

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 0, 1, 1, 0. A25250

∑_k<=n (σ(k)²), where σ(k) denotes the sum of the divisors of k A000203. A72379

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each element of every 2X2 subblock being the sum mod 3 of two others. A183836

Digitally balanced numbers in both bases 2 and 3. A49361

Numbers n such that { x +- 2^k : 0 < k < 4 } are primes, where x = 210·n - 105. A61671

Numbers k such that σ(φ(k))-φ(σ(k)) is nonzero and is divisible by (k-1), that is A065395(k)/(k-1) = (φ(σ(k))-σ(φ(k)))/(k-1) is a nonzero integer. A92585

Expansion of (1/x) * Series_Reversion( x * (1-x-x⁴/(1-x)) ). A367317

Row sums of triangle A027420. A241944