λ
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9,608,536

23 × 7 × 17 × 10093
Abundant Even Composite

9,608,536 factors as 2^3 × 7 × 17 × 10093. Its 32 positive divisors give a proper-divisor sum of 12,194,504, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 10093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,803,040
Proper Divisor Sum 12,194,504
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9608527 ← → #9608569

Radix Representation

Decimal 9608536
Binary 100100101001110101011000 (24 bits)
Octal 0o44516530
Hexadecimal 0x929D58

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 10,093 20,186 40,372 70,651 80,744 141,302 171,581 282,604 343,162 565,208 686,324 1,201,067 1,372,648 2,402,134 4,804,268 9,608,536

Collatz Trajectory (93 steps to reach 1)

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

9,608,536 4,804,268 2,402,134 1,201,067 3,603,202 1,801,601 5,404,804 2,702,402 1,351,201 4,053,604 2,026,802 1,013,401 3,040,204 1,520,102 760,051 2,280,154 1,140,077 3,420,232 1,710,116 855,058 427,529 1,282,588 641,294 320,647 961,942 480,971 1,442,914 721,457 2,164,372 1,082,186 541,093 1,623,280 811,640 405,820 202,910 101,455 304,366 152,183 456,550 228,275 684,826 342,413 1,027,240 513,620 256,810 128,405 385,216 192,608 96,304 48,152 24,076 12,038 6,019 18,058 9,029 27,088 13,544 6,772 3,386 1,693

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