Properties of the Number 8241

Eight Thousand Two Hundred Forty-One

Basics

Value: 8240 → 8241 → 8242

Parity: odd

Prime: No

Previous Prime: 8237

Next Prime: 8243

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 67

Divisors: 1, 3, 41, 67, 123, 201, 2747, 8241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110001

Octal: 20061

Duodecimal: 4929

Hexadecimal: 2031

Square: 67914081

Square Root: 90.77995373429091

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

Number of Carmichael numbers (A002997) less than 10ⁿ. A55553

12-gonal (or dodecagonal) numbers: a(n) = n*(5·n-4). A51624

a(1) = 5; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46255

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 4 1s. A295205

2n concatenated with n. A235497

Number A(n,k) of permutations p of [n] having no index i with |p(i)-i| = k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A306512

Expansion of (2+9·x-24·x³+16·x⁴-30·x²) / ((1-x)*(2·x+1)*(2·x-1)*(4·x²+4·x-1)). A110050

Numbers k such that k⁴ contains a pandigital substring. A115934

a(n+1) = a(n) + floor(a(n)/5) with a(0)=5. A182306

a(n)² is the end of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245). A340664