Properties of the Number 96727

Ninety-Six Thousand Seven Hundred Twenty-Seven

Basics

Value: 96726 → 96727 → 96728

Parity: odd

Prime: No

Previous Prime: 96703

Next Prime: 96731

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 197 × 491

Divisors: 1, 197, 491, 96727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10111100111010111

Octal: 274727

Duodecimal: 47B87

Hexadecimal: 179d7

Square: 9356112529

Square Root: 311.00964615265553

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

Table T(n,k), n>=0, k>=0, read by antidiagonals, where the e.g.f. for column k satisfies A_k(x) = exp(x·A_k(((x+1)^k-1)/k)) if k>0 and A₀(x) = exp(x·A₀(0)) = exp(x). A143632

Heptagonal numbers (A000566) in which parity of digits alternates. A297646

E.g.f. satisfies log(A(x)) = (exp(x·A(x)) - 1) * A(x)². A355762

Heptagonal numbers (A000566) that are semiprimes (A001358). A259676

E.g.f. satisfies: A(x) = exp(x·A(((x+1)³-1)/3)). A143634

Strong pseudoprimes to base 37. A20263

Strong pseudoprimes to base 42. A20268

Strong pseudoprimes to base 51. A20277

Strong pseudoprimes to base 96. A20322

Expansion of η(q)⁸ / η(q²)⁴ in powers of q. A96727