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Atlas › Integer Profiles › Node 9,709,518

9,709,518

2 × 3 × 7 × 13 × 17783
Abundant Even Composite

9,709,518 factors as 2 × 3 × 7 × 13 × 17783. Its 32 positive divisors give a proper-divisor sum of 14,192,178, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 17783
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,901,696
Proper Divisor Sum 14,192,178
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9709517 ← → #9709537

Radix Representation

Decimal 9709518
Binary 100101000010011111001110 (24 bits)
Octal 0o45023716
Hexadecimal 0x9427CE

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 17,783 35,566 53,349 106,698 124,481 231,179 248,962 373,443 462,358 693,537 746,886 1,387,074 1,618,253 3,236,506 4,854,759 9,709,518

Collatz Trajectory (269 steps to reach 1)

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

9,709,518 4,854,759 14,564,278 7,282,139 21,846,418 10,923,209 32,769,628 16,384,814 8,192,407 24,577,222 12,288,611 36,865,834 18,432,917 55,298,752 27,649,376 13,824,688 6,912,344 3,456,172 1,728,086 864,043 2,592,130 1,296,065 3,888,196 1,944,098 972,049 2,916,148 1,458,074 729,037 2,187,112 1,093,556 546,778 273,389 820,168 410,084 205,042 102,521 307,564 153,782 76,891 230,674 115,337 346,012 173,006 86,503 259,510 129,755 389,266 194,633 583,900 291,950 145,975 437,926 218,963 656,890 328,445 985,336 492,668 246,334 123,167 369,502

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