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3,968,940

22 × 3 × 5 × 29 × 2281
Abundant Even Composite

3,968,940 factors as 2^2 × 3 × 5 × 29 × 2281. Its 48 positive divisors give a proper-divisor sum of 7,532,340, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 2281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,501,280
Proper Divisor Sum 7,532,340
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3968917 ← → #3968941

Radix Representation

Decimal 3968940
Binary 1111001000111110101100 (22 bits)
Octal 0o17107654
Hexadecimal 0x3C8FAC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1,740 2,281 4,562 6,843 9,124 11,405 13,686 22,810 27,372 34,215 45,620 66,149 68,430 132,298 136,860 198,447 264,596 330,745 396,894 661,490 793,788 992,235 1,322,980 1,984,470 3,968,940

Collatz Trajectory (216 steps to reach 1)

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

3,968,940 1,984,470 992,235 2,976,706 1,488,353 4,465,060 2,232,530 1,116,265 3,348,796 1,674,398 837,199 2,511,598 1,255,799 3,767,398 1,883,699 5,651,098 2,825,549 8,476,648 4,238,324 2,119,162 1,059,581 3,178,744 1,589,372 794,686 397,343 1,192,030 596,015 1,788,046 894,023 2,682,070 1,341,035 4,023,106 2,011,553 6,034,660 3,017,330 1,508,665 4,525,996 2,262,998 1,131,499 3,394,498 1,697,249 5,091,748 2,545,874 1,272,937 3,818,812 1,909,406 954,703 2,864,110 1,432,055 4,296,166 2,148,083 6,444,250 3,222,125 9,666,376 4,833,188 2,416,594 1,208,297 3,624,892 1,812,446 906,223

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