9,729,912

2³ × 3 × 405413

9,729,912 factors as 2^3 × 3 × 405413. Its 16 positive divisors give a proper-divisor sum of 14,594,928, so this integer is abundant. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 405413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,324,840

Proper Divisor Sum 14,594,928

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9729887 ← → #9729913

Radix Representation

Decimal	9729912
Binary	100101000111011101111000 (24 bits)
Octal	0o45073570
Hexadecimal	0x947778

Divisor Catalog (16)

1 2 3 4 6 8 12 24 405,413 810,826 1,216,239 1,621,652 2,432,478 3,243,304 4,864,956 9,729,912

Collatz Trajectory (344 steps to reach 1)

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

9,729,912 4,864,956 2,432,478 1,216,239 3,648,718 1,824,359 5,473,078 2,736,539 8,209,618 4,104,809 12,314,428 6,157,214 3,078,607 9,235,822 4,617,911 13,853,734 6,926,867 20,780,602 10,390,301 31,170,904 15,585,452 7,792,726 3,896,363 11,689,090 5,844,545 17,533,636 8,766,818 4,383,409 13,150,228 6,575,114 3,287,557 9,862,672 4,931,336 2,465,668 1,232,834 616,417 1,849,252 924,626 462,313 1,386,940 693,470 346,735 1,040,206 520,103 1,560,310 780,155 2,340,466 1,170,233 3,510,700 1,755,350 877,675 2,633,026 1,316,513 3,949,540 1,974,770 987,385 2,962,156 1,481,078 740,539 2,221,618

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