688,117

59 × 107 × 109

688,117 factors as 59 × 107 × 109. Its 8 positive divisors give a proper-divisor sum of 24,683, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 59 × 107 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 712,800

Proper Divisor Sum 24,683

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #688111 ← → #688133

Radix Representation

Decimal	688117
Binary	10100111111111110101 (20 bits)
Octal	0o2477765
Hexadecimal	0xA7FF5

Divisor Catalog (8)

1 59 107 109 6,313 6,431 11,663 688,117

Collatz Trajectory (167 steps to reach 1)

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

688,117 2,064,352 1,032,176 516,088 258,044 129,022 64,511 193,534 96,767 290,302 145,151 435,454 217,727 653,182 326,591 979,774 489,887 1,469,662 734,831 2,204,494 1,102,247 3,306,742 1,653,371 4,960,114 2,480,057 7,440,172 3,720,086 1,860,043 5,580,130 2,790,065 8,370,196 4,185,098 2,092,549 6,277,648 3,138,824 1,569,412 784,706 392,353 1,177,060 588,530 294,265 882,796 441,398 220,699 662,098 331,049 993,148 496,574 248,287 744,862 372,431 1,117,294 558,647 1,675,942 837,971 2,513,914 1,256,957 3,770,872 1,885,436 942,718

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