36,982,820

2² × 5 × 7 × 17 × 41 × 379

36,982,820 factors as 2^2 × 5 × 7 × 17 × 41 × 379. Its 96 positive divisors give a proper-divisor sum of 59,543,260, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 41 × 379

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 96,526,080

Proper Divisor Sum 59,543,260

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #36982811 ← → #36982879

Radix Representation

Decimal	36982820
Binary	10001101000101000000100100 (26 bits)
Octal	0o215050044
Hexadecimal	0x2345024

Divisor Catalog (60 of 96)

1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 379 410 476 574 595 697 758 820 1,148 1,190 1,394 1,435 1,516 1,895 2,380 2,653 2,788 2,870 3,485 3,790 4,879 5,306 5,740 6,443 6,970 7,580 9,758 10,612 12,886 13,265 13,940 15,539 19,516 24,395 25,772

Collatz Trajectory (165 steps to reach 1)

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

36,982,820 18,491,410 9,245,705 27,737,116 13,868,558 6,934,279 20,802,838 10,401,419 31,204,258 15,602,129 46,806,388 23,403,194 11,701,597 35,104,792 17,552,396 8,776,198 4,388,099 13,164,298 6,582,149 19,746,448 9,873,224 4,936,612 2,468,306 1,234,153 3,702,460 1,851,230 925,615 2,776,846 1,388,423 4,165,270 2,082,635 6,247,906 3,123,953 9,371,860 4,685,930 2,342,965 7,028,896 3,514,448 1,757,224 878,612 439,306 219,653 658,960 329,480 164,740 82,370 41,185 123,556 61,778 30,889 92,668 46,334 23,167 69,502 34,751 104,254 52,127 156,382 78,191 234,574

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