1,783,980

2² × 3² × 5 × 11 × 17 × 53

1,783,980 factors as 2^2 × 3^2 × 5 × 11 × 17 × 53. Its 144 positive divisors give a proper-divisor sum of 4,584,564, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 17 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 6,368,544

Proper Divisor Sum 4,584,564

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1783937 ← → #1783981

Radix Representation

Decimal	1783980
Binary	110110011100010101100 (21 bits)
Octal	0o6634254
Hexadecimal	0x1B38AC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 53 55 60 66 68 85 90 99 102 106 110 132 153 159 165 170 180 187 198 204 212 220 255 265 306 318 330 340 374 396 477 495 510 530 561 583 612 636

Collatz Trajectory (96 steps to reach 1)

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

1,783,980 891,990 445,995 1,337,986 668,993 2,006,980 1,003,490 501,745 1,505,236 752,618 376,309 1,128,928 564,464 282,232 141,116 70,558 35,279 105,838 52,919 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320

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