λ
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9,737,648

24 × 23 × 47 × 563
Abundant Even Composite

9,737,648 factors as 2^4 × 23 × 47 × 563. Its 40 positive divisors give a proper-divisor sum of 10,403,920, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 47 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,141,568
Proper Divisor Sum 10,403,920
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9737641 ← → #9737657

Radix Representation

Decimal 9737648
Binary 100101001001010110110000 (24 bits)
Octal 0o45112660
Hexadecimal 0x9495B0

Divisor Catalog (40)

1 2 4 8 16 23 46 47 92 94 184 188 368 376 563 752 1,081 1,126 2,162 2,252 4,324 4,504 8,648 9,008 12,949 17,296 25,898 26,461 51,796 52,922 103,592 105,844 207,184 211,688 423,376 608,603 1,217,206 2,434,412 4,868,824 9,737,648

Collatz Trajectory (176 steps to reach 1)

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

9,737,648 4,868,824 2,434,412 1,217,206 608,603 1,825,810 912,905 2,738,716 1,369,358 684,679 2,054,038 1,027,019 3,081,058 1,540,529 4,621,588 2,310,794 1,155,397 3,466,192 1,733,096 866,548 433,274 216,637 649,912 324,956 162,478 81,239 243,718 121,859 365,578 182,789 548,368 274,184 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295

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