6,988,086

2 × 3³ × 7² × 19 × 139

6,988,086 factors as 2 × 3^3 × 7^2 × 19 × 139. Its 96 positive divisors give a proper-divisor sum of 12,163,914, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 19 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,152,000

Proper Divisor Sum 12,163,914

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6988073 ← → #6988123

Radix Representation

Decimal	6988086
Binary	11010101010000100110110 (23 bits)
Octal	0o32520466
Hexadecimal	0x6AA136

Divisor Catalog (60 of 96)

1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 139 147 171 189 266 278 294 342 378 399 417 441 513 798 834 882 931 973 1,026 1,197 1,251 1,323 1,862 1,946 2,394 2,502 2,641 2,646 2,793 2,919 3,591 3,753 5,282 5,586 5,838 6,811 7,182 7,506 7,923

Collatz Trajectory (129 steps to reach 1)

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

6,988,086 3,494,043 10,482,130 5,241,065 15,723,196 7,861,598 3,930,799 11,792,398 5,896,199 17,688,598 8,844,299 26,532,898 13,266,449 39,799,348 19,899,674 9,949,837 29,849,512 14,924,756 7,462,378 3,731,189 11,193,568 5,596,784 2,798,392 1,399,196 699,598 349,799 1,049,398 524,699 1,574,098 787,049 2,361,148 1,180,574 590,287 1,770,862 885,431 2,656,294 1,328,147 3,984,442 1,992,221 5,976,664 2,988,332 1,494,166 747,083 2,241,250 1,120,625 3,361,876 1,680,938 840,469 2,521,408 1,260,704 630,352 315,176 157,588 78,794 39,397 118,192 59,096 29,548 14,774 7,387

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