779,328

2⁶ × 3³ × 11 × 41

779,328 has digital root 9. The neighboring primes are 779327 and 779329; its proper-divisor sum differs from the starting integer by 1,001,664.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 11 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 2,560,320

Proper Divisor Sum 1,780,992

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #779327 ← → #779329

Radix Representation

Decimal	779328
Binary	10111110010001000000 (20 bits)
Octal	0o2762100
Hexadecimal	0xBE440

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 82 88 96 99 108 123 132 144 164 176 192 198 216 246 264 288 297 328 352 369 396 432 451 492 528 576 594 656 704 738 792 864 902 984 1,056 1,107

Collatz Trajectory (69 steps to reach 1)

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

779,328 389,664 194,832 97,416 48,708 24,354 12,177 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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