9,728,824

2³ × 7 × 173729

9,728,824 factors as 2^3 × 7 × 173729. Its 16 positive divisors give a proper-divisor sum of 11,118,776, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 173729

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,847,600

Proper Divisor Sum 11,118,776

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9728801 ← → #9728827

Radix Representation

Decimal	9728824
Binary	100101000111001100111000 (24 bits)
Octal	0o45071470
Hexadecimal	0x947338

Divisor Catalog (16)

1 2 4 7 8 14 28 56 173,729 347,458 694,916 1,216,103 1,389,832 2,432,206 4,864,412 9,728,824

Collatz Trajectory (119 steps to reach 1)

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

9,728,824 4,864,412 2,432,206 1,216,103 3,648,310 1,824,155 5,472,466 2,736,233 8,208,700 4,104,350 2,052,175 6,156,526 3,078,263 9,234,790 4,617,395 13,852,186 6,926,093 20,778,280 10,389,140 5,194,570 2,597,285 7,791,856 3,895,928 1,947,964 973,982 486,991 1,460,974 730,487 2,191,462 1,095,731 3,287,194 1,643,597 4,930,792 2,465,396 1,232,698 616,349 1,849,048 924,524 462,262 231,131 693,394 346,697 1,040,092 520,046 260,023 780,070 390,035 1,170,106 585,053 1,755,160 877,580 438,790 219,395 658,186 329,093 987,280 493,640 246,820 123,410 61,705

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