λ
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9,910,796

22 × 7 × 17 × 47 × 443
Abundant Even Composite

9,910,796 factors as 2^2 × 7 × 17 × 47 × 443. Its 48 positive divisors give a proper-divisor sum of 11,571,700, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 47 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,482,496
Proper Divisor Sum 11,571,700
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9910759 ← → #9910811

Radix Representation

Decimal 9910796
Binary 100101110011101000001100 (24 bits)
Octal 0o45635014
Hexadecimal 0x973A0C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 443 476 658 799 886 1,316 1,598 1,772 3,101 3,196 5,593 6,202 7,531 11,186 12,404 15,062 20,821 22,372 30,124 41,642 52,717 83,284 105,434 145,747 210,868 291,494 353,957 582,988 707,914 1,415,828 2,477,699 4,955,398 9,910,796

Collatz Trajectory (132 steps to reach 1)

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

9,910,796 4,955,398 2,477,699 7,433,098 3,716,549 11,149,648 5,574,824 2,787,412 1,393,706 696,853 2,090,560 1,045,280 522,640 261,320 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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