779,999

11 × 23 × 3083

779,999 factors as 11 × 23 × 3083. Its 8 positive divisors give a proper-divisor sum of 108,193, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 11 × 23 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 888,192

Proper Divisor Sum 108,193

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #779993 ← → #780029

Radix Representation

Decimal	779999
Binary	10111110011011011111 (20 bits)
Octal	0o2763337
Hexadecimal	0xBE6DF

Divisor Catalog (8)

1 11 23 253 3,083 33,913 70,909 779,999

Collatz Trajectory (180 steps to reach 1)

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

779,999 2,339,998 1,169,999 3,509,998 1,754,999 5,264,998 2,632,499 7,897,498 3,948,749 11,846,248 5,923,124 2,961,562 1,480,781 4,442,344 2,221,172 1,110,586 555,293 1,665,880 832,940 416,470 208,235 624,706 312,353 937,060 468,530 234,265 702,796 351,398 175,699 527,098 263,549 790,648 395,324 197,662 98,831 296,494 148,247 444,742 222,371 667,114 333,557 1,000,672 500,336 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684

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