λ
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Atlas › Integer Profiles › Node 1,783,386

1,783,386

2 × 32 × 11 × 9007
Abundant Even Composite

1,783,386 factors as 2 × 3^2 × 11 × 9007. Its 24 positive divisors give a proper-divisor sum of 2,432,358, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 9007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,215,744
Proper Divisor Sum 2,432,358
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1783373 ← → #1783387

Radix Representation

Decimal 1783386
Binary 110110011011001011010 (21 bits)
Octal 0o6633132
Hexadecimal 0x1B365A

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 9,007 18,014 27,021 54,042 81,063 99,077 162,126 198,154 297,231 594,462 891,693 1,783,386

Collatz Trajectory (70 steps to reach 1)

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

1,783,386 891,693 2,675,080 1,337,540 668,770 334,385 1,003,156 501,578 250,789 752,368 376,184 188,092 94,046 47,023 141,070 70,535 211,606 105,803 317,410 158,705 476,116 238,058 119,029 357,088 178,544 89,272 44,636 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53

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