9,831,748

2² × 139 × 17683

9,831,748 factors as 2^2 × 139 × 17683. Its 12 positive divisors give a proper-divisor sum of 7,498,572, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 139 × 17683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,330,320

Proper Divisor Sum 7,498,572

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9831737 ← → #9831749

Radix Representation

Decimal	9831748
Binary	100101100000010101000100 (24 bits)
Octal	0o45402504
Hexadecimal	0x960544

Divisor Catalog (12)

1 2 4 139 278 556 17,683 35,366 70,732 2,457,937 4,915,874 9,831,748

Collatz Trajectory (207 steps to reach 1)

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

9,831,748 4,915,874 2,457,937 7,373,812 3,686,906 1,843,453 5,530,360 2,765,180 1,382,590 691,295 2,073,886 1,036,943 3,110,830 1,555,415 4,666,246 2,333,123 6,999,370 3,499,685 10,499,056 5,249,528 2,624,764 1,312,382 656,191 1,968,574 984,287 2,952,862 1,476,431 4,429,294 2,214,647 6,643,942 3,321,971 9,965,914 4,982,957 14,948,872 7,474,436 3,737,218 1,868,609 5,605,828 2,802,914 1,401,457 4,204,372 2,102,186 1,051,093 3,153,280 1,576,640 788,320 394,160 197,080 98,540 49,270 24,635 73,906 36,953 110,860 55,430 27,715 83,146 41,573 124,720 62,360

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