6,998,940

2² × 3³ × 5 × 13 × 997

6,998,940 factors as 2^2 × 3^3 × 5 × 13 × 997. Its 96 positive divisors give a proper-divisor sum of 16,474,020, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,472,960

Proper Divisor Sum 16,474,020

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6998939 ← → #6998941

Radix Representation

Decimal	6998940
Binary	11010101100101110011100 (23 bits)
Octal	0o32545634
Hexadecimal	0x6ACB9C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 997 1,170 1,404 1,755 1,994 2,340 2,991 3,510 3,988 4,985 5,982 7,020 8,973 9,970 11,964 12,961 14,955 17,946

Collatz Trajectory (152 steps to reach 1)

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

6,998,940 3,499,470 1,749,735 5,249,206 2,624,603 7,873,810 3,936,905 11,810,716 5,905,358 2,952,679 8,858,038 4,429,019 13,287,058 6,643,529 19,930,588 9,965,294 4,982,647 14,947,942 7,473,971 22,421,914 11,210,957 33,632,872 16,816,436 8,408,218 4,204,109 12,612,328 6,306,164 3,153,082 1,576,541 4,729,624 2,364,812 1,182,406 591,203 1,773,610 886,805 2,660,416 1,330,208 665,104 332,552 166,276 83,138 41,569 124,708 62,354 31,177 93,532 46,766 23,383 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399

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