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Atlas › Integer Profiles › Node 1,786,730

1,786,730

2 × 5 × 11 × 37 × 439
Abundant Even Composite

1,786,730 factors as 2 × 5 × 11 × 37 × 439. Its 32 positive divisors give a proper-divisor sum of 1,824,790, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,611,520
Proper Divisor Sum 1,824,790
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1786727 ← → #1786753

Radix Representation

Decimal 1786730
Binary 110110100001101101010 (21 bits)
Octal 0o6641552
Hexadecimal 0x1B436A

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 370 407 439 814 878 2,035 2,195 4,070 4,390 4,829 9,658 16,243 24,145 32,486 48,290 81,215 162,430 178,673 357,346 893,365 1,786,730

Collatz Trajectory (96 steps to reach 1)

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

1,786,730 893,365 2,680,096 1,340,048 670,024 335,012 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891

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