768,536

2³ × 17 × 5651

768,536 factors as 2^3 × 17 × 5651. Its 16 positive divisors give a proper-divisor sum of 757,504, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 5651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,526,040

Proper Divisor Sum 757,504

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #768503 ← → #768541

Radix Representation

Decimal	768536
Binary	10111011101000011000 (20 bits)
Octal	0o2735030
Hexadecimal	0xBBA18

Divisor Catalog (16)

1 2 4 8 17 34 68 136 5,651 11,302 22,604 45,208 96,067 192,134 384,268 768,536

Collatz Trajectory (74 steps to reach 1)

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

768,536 384,268 192,134 96,067 288,202 144,101 432,304 216,152 108,076 54,038 27,019 81,058 40,529 121,588 60,794 30,397 91,192 45,596 22,798 11,399 34,198 17,099 51,298 25,649 76,948 38,474 19,237 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136

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