9,852,428

2² × 769 × 3203

9,852,428 factors as 2^2 × 769 × 3203. Its 12 positive divisors give a proper-divisor sum of 7,417,132, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 769 × 3203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,269,560

Proper Divisor Sum 7,417,132

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9852419 ← → #9852433

Radix Representation

Decimal	9852428
Binary	100101100101011000001100 (24 bits)
Octal	0o45453014
Hexadecimal	0x96560C

Divisor Catalog (12)

1 2 4 769 1,538 3,076 3,203 6,406 12,812 2,463,107 4,926,214 9,852,428

Collatz Trajectory (83 steps to reach 1)

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

9,852,428 4,926,214 2,463,107 7,389,322 3,694,661 11,083,984 5,541,992 2,770,996 1,385,498 692,749 2,078,248 1,039,124 519,562 259,781 779,344 389,672 194,836 97,418 48,709 146,128 73,064 36,532 18,266 9,133 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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