8,482,736

2⁴ × 41 × 67 × 193

8,482,736 has the prime decomposition 2^4 × 41 × 67 × 193. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 67 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,175,984

Proper Divisor Sum 8,693,248

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8482723 ← → #8482751

Radix Representation

Decimal	8482736
Binary	100000010110111110110000 (24 bits)
Octal	0o40267660
Hexadecimal	0x816FB0

Divisor Catalog (40)

1 2 4 8 16 41 67 82 134 164 193 268 328 386 536 656 772 1,072 1,544 2,747 3,088 5,494 7,913 10,988 12,931 15,826 21,976 25,862 31,652 43,952 51,724 63,304 103,448 126,608 206,896 530,171 1,060,342 2,120,684 4,241,368 8,482,736

Collatz Trajectory (124 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,482,736 4,241,368 2,120,684 1,060,342 530,171 1,590,514 795,257 2,385,772 1,192,886 596,443 1,789,330 894,665 2,683,996 1,341,998 670,999 2,012,998 1,006,499 3,019,498 1,509,749 4,529,248 2,264,624 1,132,312 566,156 283,078 141,539 424,618 212,309 636,928 318,464 159,232 79,616 39,808 19,904 9,952 4,976 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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