780,794

2 × 7 × 43 × 1297

780,794 factors as 2 × 7 × 43 × 1297. Its 16 positive divisors give a proper-divisor sum of 589,894, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 1297

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,370,688

Proper Divisor Sum 589,894

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #780733 ← → #780799

Radix Representation

Decimal	780794
Binary	10111110100111111010 (20 bits)
Octal	0o2764772
Hexadecimal	0xBE9FA

Divisor Catalog (16)

1 2 7 14 43 86 301 602 1,297 2,594 9,079 18,158 55,771 111,542 390,397 780,794

Collatz Trajectory (193 steps to reach 1)

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

780,794 390,397 1,171,192 585,596 292,798 146,399 439,198 219,599 658,798 329,399 988,198 494,099 1,482,298 741,149 2,223,448 1,111,724 555,862 277,931 833,794 416,897 1,250,692 625,346 312,673 938,020 469,010 234,505 703,516 351,758 175,879 527,638 263,819 791,458 395,729 1,187,188 593,594 296,797 890,392 445,196 222,598 111,299 333,898 166,949 500,848 250,424 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288

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