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5,957,740

22 × 5 × 37 × 83 × 97
Abundant Even Composite

5,957,740 factors as 2^2 × 5 × 37 × 83 × 97. Its 48 positive divisors give a proper-divisor sum of 7,180,532, so this integer is abundant. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 83 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,138,272
Proper Divisor Sum 7,180,532
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5957737 ← → #5957741

Radix Representation

Decimal 5957740
Binary 10110101110100001101100 (23 bits)
Octal 0o26564154
Hexadecimal 0x5AE86C

Divisor Catalog (48)

1 2 4 5 10 20 37 74 83 97 148 166 185 194 332 370 388 415 485 740 830 970 1,660 1,940 3,071 3,589 6,142 7,178 8,051 12,284 14,356 15,355 16,102 17,945 30,710 32,204 35,890 40,255 61,420 71,780 80,510 161,020 297,887 595,774 1,191,548 1,489,435 2,978,870 5,957,740

Collatz Trajectory (289 steps to reach 1)

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

5,957,740 2,978,870 1,489,435 4,468,306 2,234,153 6,702,460 3,351,230 1,675,615 5,026,846 2,513,423 7,540,270 3,770,135 11,310,406 5,655,203 16,965,610 8,482,805 25,448,416 12,724,208 6,362,104 3,181,052 1,590,526 795,263 2,385,790 1,192,895 3,578,686 1,789,343 5,368,030 2,684,015 8,052,046 4,026,023 12,078,070 6,039,035 18,117,106 9,058,553 27,175,660 13,587,830 6,793,915 20,381,746 10,190,873 30,572,620 15,286,310 7,643,155 22,929,466 11,464,733 34,394,200 17,197,100 8,598,550 4,299,275 12,897,826 6,448,913 19,346,740 9,673,370 4,836,685 14,510,056 7,255,028 3,627,514 1,813,757 5,441,272 2,720,636 1,360,318

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