9,728,658

2 × 3² × 17 × 31793

9,728,658 factors as 2 × 3^2 × 17 × 31793. Its 24 positive divisors give a proper-divisor sum of 12,590,730, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 31793

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,319,388

Proper Divisor Sum 12,590,730

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9728651 ← → #9728681

Radix Representation

Decimal	9728658
Binary	100101000111001010010010 (24 bits)
Octal	0o45071222
Hexadecimal	0x947292

Divisor Catalog (24)

Collatz Trajectory (88 steps to reach 1)

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

9,728,658 4,864,329 14,592,988 7,296,494 3,648,247 10,944,742 5,472,371 16,417,114 8,208,557 24,625,672 12,312,836 6,156,418 3,078,209 9,234,628 4,617,314 2,308,657 6,925,972 3,462,986 1,731,493 5,194,480 2,597,240 1,298,620 649,310 324,655 973,966 486,983 1,460,950 730,475 2,191,426 1,095,713 3,287,140 1,643,570 821,785 2,465,356 1,232,678 616,339 1,849,018 924,509 2,773,528 1,386,764 693,382 346,691 1,040,074 520,037 1,560,112 780,056 390,028 195,014 97,507 292,522 146,261 438,784 219,392 109,696 54,848 27,424 13,712 6,856 3,428 1,714

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