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40,103,412

22 × 3 × 37 × 41 × 2203
Abundant Even Composite

40,103,412 factors as 2^2 × 3 × 37 × 41 × 2203. Its 48 positive divisors give a proper-divisor sum of 58,388,940, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 41 × 2203
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,492,352
Proper Divisor Sum 58,388,940
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #40103411 ← → #40103419

Radix Representation

Decimal 40103412
Binary 10011000111110110111110100 (26 bits)
Octal 0o230766764
Hexadecimal 0x263EDF4

Divisor Catalog (48)

1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 444 492 1,517 2,203 3,034 4,406 4,551 6,068 6,609 8,812 9,102 13,218 18,204 26,436 81,511 90,323 163,022 180,646 244,533 270,969 326,044 361,292 489,066 541,938 978,132 1,083,876 3,341,951 6,683,902 10,025,853 13,367,804 20,051,706 40,103,412

Collatz Trajectory (90 steps to reach 1)

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

40,103,412 20,051,706 10,025,853 30,077,560 15,038,780 7,519,390 3,759,695 11,279,086 5,639,543 16,918,630 8,459,315 25,377,946 12,688,973 38,066,920 19,033,460 9,516,730 4,758,365 14,275,096 7,137,548 3,568,774 1,784,387 5,353,162 2,676,581 8,029,744 4,014,872 2,007,436 1,003,718 501,859 1,505,578 752,789 2,258,368 1,129,184 564,592 282,296 141,148 70,574 35,287 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066

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