9,725,728

2⁵ × 491 × 619

For 9,725,728, the 24 positive divisors have a total of 19,217,520. Removing 9,725,728 leaves 9,491,792, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 491 × 619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,217,520

Proper Divisor Sum 9,491,792

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9725713 ← → #9725731

Radix Representation

Decimal	9725728
Binary	100101000110011100100000 (24 bits)
Octal	0o45063440
Hexadecimal	0x946720

Divisor Catalog (24)

1 2 4 8 16 32 491 619 982 1,238 1,964 2,476 3,928 4,952 7,856 9,904 15,712 19,808 303,929 607,858 1,215,716 2,431,432 4,862,864 9,725,728

Collatz Trajectory (114 steps to reach 1)

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

9,725,728 4,862,864 2,431,432 1,215,716 607,858 303,929 911,788 455,894 227,947 683,842 341,921 1,025,764 512,882 256,441 769,324 384,662 192,331 576,994 288,497 865,492 432,746 216,373 649,120 324,560 162,280 81,140 40,570 20,285 60,856 30,428 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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