678,643

7 × 67 × 1447

678,643 factors as 7 × 67 × 1447. Its 8 positive divisors give a proper-divisor sum of 109,069, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 7 × 67 × 1447

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 787,712

Proper Divisor Sum 109,069

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #678641 ← → #678647

Radix Representation

Decimal	678643
Binary	10100101101011110011 (20 bits)
Octal	0o2455363
Hexadecimal	0xA5AF3

Divisor Catalog (8)

1 7 67 469 1,447 10,129 96,949 678,643

Collatz Trajectory (136 steps to reach 1)

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

678,643 2,035,930 1,017,965 3,053,896 1,526,948 763,474 381,737 1,145,212 572,606 286,303 858,910 429,455 1,288,366 644,183 1,932,550 966,275 2,898,826 1,449,413 4,348,240 2,174,120 1,087,060 543,530 271,765 815,296 407,648 203,824 101,912 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834

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