λ
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9,852,852

22 × 3 × 577 × 1423
Abundant Even Composite

9,852,852 factors as 2^2 × 3 × 577 × 1423. Its 24 positive divisors give a proper-divisor sum of 13,193,164, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 577 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,046,016
Proper Divisor Sum 13,193,164
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9852851 ← → #9852889

Radix Representation

Decimal 9852852
Binary 100101100101011110110100 (24 bits)
Octal 0o45453664
Hexadecimal 0x9657B4

Divisor Catalog (24)

1 2 3 4 6 12 577 1,154 1,423 1,731 2,308 2,846 3,462 4,269 5,692 6,924 8,538 17,076 821,071 1,642,142 2,463,213 3,284,284 4,926,426 9,852,852

Collatz Trajectory (83 steps to reach 1)

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

9,852,852 4,926,426 2,463,213 7,389,640 3,694,820 1,847,410 923,705 2,771,116 1,385,558 692,779 2,078,338 1,039,169 3,117,508 1,558,754 779,377 2,338,132 1,169,066 584,533 1,753,600 876,800 438,400 219,200 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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