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874,940

22 × 5 × 11 × 41 × 97
Abundant Even Composite

874,940 factors as 2^2 × 5 × 11 × 41 × 97. Its 48 positive divisors give a proper-divisor sum of 1,199,524, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 41 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,074,464
Proper Divisor Sum 1,199,524
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #874919 ← → #874957

Radix Representation

Decimal 874940
Binary 11010101100110111100 (20 bits)
Octal 0o3254674
Hexadecimal 0xD59BC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 41 44 55 82 97 110 164 194 205 220 388 410 451 485 820 902 970 1,067 1,804 1,940 2,134 2,255 3,977 4,268 4,510 5,335 7,954 9,020 10,670 15,908 19,885 21,340 39,770 43,747 79,540 87,494 174,988 218,735 437,470 874,940

Collatz Trajectory (263 steps to reach 1)

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

874,940 437,470 218,735 656,206 328,103 984,310 492,155 1,476,466 738,233 2,214,700 1,107,350 553,675 1,661,026 830,513 2,491,540 1,245,770 622,885 1,868,656 934,328 467,164 233,582 116,791 350,374 175,187 525,562 262,781 788,344 394,172 197,086 98,543 295,630 147,815 443,446 221,723 665,170 332,585 997,756 498,878 249,439 748,318 374,159 1,122,478 561,239 1,683,718 841,859 2,525,578 1,262,789 3,788,368 1,894,184 947,092 473,546 236,773 710,320 355,160 177,580 88,790 44,395 133,186 66,593 199,780

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