λ
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9,507,018

2 × 3 × 31 × 79 × 647
Abundant Even Composite

9,507,018 factors as 2 × 3 × 31 × 79 × 647. Its 32 positive divisors give a proper-divisor sum of 10,399,542, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 79 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,906,560
Proper Divisor Sum 10,399,542
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9507007 ← → #9507031

Radix Representation

Decimal 9507018
Binary 100100010001000011001010 (24 bits)
Octal 0o44210312
Hexadecimal 0x9110CA

Divisor Catalog (32)

1 2 3 6 31 62 79 93 158 186 237 474 647 1,294 1,941 2,449 3,882 4,898 7,347 14,694 20,057 40,114 51,113 60,171 102,226 120,342 153,339 306,678 1,584,503 3,169,006 4,753,509 9,507,018

Collatz Trajectory (163 steps to reach 1)

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

9,507,018 4,753,509 14,260,528 7,130,264 3,565,132 1,782,566 891,283 2,673,850 1,336,925 4,010,776 2,005,388 1,002,694 501,347 1,504,042 752,021 2,256,064 1,128,032 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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