9,748,872

2³ × 3² × 7 × 23 × 29²

9,748,872 factors as 2^3 × 3^2 × 7 × 23 × 29^2. Its 144 positive divisors give a proper-divisor sum of 22,861,368, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 23 × 29^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 32,610,240

Proper Divisor Sum 22,861,368

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9748861 ← → #9748883

Radix Representation

Decimal	9748872
Binary	100101001100000110001000 (24 bits)
Octal	0o45140610
Hexadecimal	0x94C188

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 29 36 42 46 56 58 63 69 72 84 87 92 116 126 138 161 168 174 184 203 207 232 252 261 276 322 348 406 414 483 504 522 552 609 644 667 696 812 828 841 966 1,044 1,218 1,288 1,334

Collatz Trajectory (207 steps to reach 1)

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

9,748,872 4,874,436 2,437,218 1,218,609 3,655,828 1,827,914 913,957 2,741,872 1,370,936 685,468 342,734 171,367 514,102 257,051 771,154 385,577 1,156,732 578,366 289,183 867,550 433,775 1,301,326 650,663 1,951,990 975,995 2,927,986 1,463,993 4,391,980 2,195,990 1,097,995 3,293,986 1,646,993 4,940,980 2,470,490 1,235,245 3,705,736 1,852,868 926,434 463,217 1,389,652 694,826 347,413 1,042,240 521,120 260,560 130,280 65,140 32,570 16,285 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307

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