6,973,560

2³ × 3³ × 5 × 11 × 587

6,973,560 factors as 2^3 × 3^3 × 5 × 11 × 587. Its 128 positive divisors give a proper-divisor sum of 18,428,040, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 11 × 587

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 25,401,600

Proper Divisor Sum 18,428,040

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6973529 ← → #6973573

Radix Representation

Decimal	6973560
Binary	11010100110100001111000 (23 bits)
Octal	0o32464170
Hexadecimal	0x6A6878

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 587 594 660 792 990 1,080 1,174 1,188 1,320 1,485

Collatz Trajectory (160 steps to reach 1)

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

6,973,560 3,486,780 1,743,390 871,695 2,615,086 1,307,543 3,922,630 1,961,315 5,883,946 2,941,973 8,825,920 4,412,960 2,206,480 1,103,240 551,620 275,810 137,905 413,716 206,858 103,429 310,288 155,144 77,572 38,786 19,393 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378

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