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766,720

28 × 5 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,839,600
Proper Divisor Sum 1,072,880
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #766687 ← → #766721

Radix Representation

Decimal 766720
Binary 10111011001100000000 (20 bits)
Octal 0o2731400
Hexadecimal 0xBB300

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 599 640 1,198 1,280 2,396 2,995 4,792 5,990 9,584 11,980 19,168 23,960 38,336 47,920 76,672 95,840 153,344 191,680 383,360 766,720

Collatz Trajectory (56 steps to reach 1)

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

766,720 383,360 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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