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Atlas › Integer Profiles › Node 17,520,822

17,520,822

2 × 32 × 11 × 107 × 827
Abundant Even Composite

17,520,822 factors as 2 × 3^2 × 11 × 107 × 827. Its 48 positive divisors give a proper-divisor sum of 24,329,610, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 107 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,850,432
Proper Divisor Sum 24,329,610
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17520821 ← → #17520827

Radix Representation

Decimal 17520822
Binary 1000010110101100010110110 (25 bits)
Octal 0o102654266
Hexadecimal 0x10B58B6

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 827 963 1,177 1,654 1,926 2,354 2,481 3,531 4,962 7,062 7,443 9,097 10,593 14,886 18,194 21,186 27,291 54,582 81,873 88,489 163,746 176,978 265,467 530,934 796,401 973,379 1,592,802 1,946,758 2,920,137 5,840,274 8,760,411 17,520,822

Collatz Trajectory (200 steps to reach 1)

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

17,520,822 8,760,411 26,281,234 13,140,617 39,421,852 19,710,926 9,855,463 29,566,390 14,783,195 44,349,586 22,174,793 66,524,380 33,262,190 16,631,095 49,893,286 24,946,643 74,839,930 37,419,965 112,259,896 56,129,948 28,064,974 14,032,487 42,097,462 21,048,731 63,146,194 31,573,097 94,719,292 47,359,646 23,679,823 71,039,470 35,519,735 106,559,206 53,279,603 159,838,810 79,919,405 239,758,216 119,879,108 59,939,554 29,969,777 89,909,332 44,954,666 22,477,333 67,432,000 33,716,000 16,858,000 8,429,000 4,214,500 2,107,250 1,053,625 3,160,876 1,580,438 790,219 2,370,658 1,185,329 3,555,988 1,777,994 888,997 2,666,992 1,333,496 666,748

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