λ
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Atlas › Integer Profiles › Node 44,192,588

44,192,588

22 × 112 × 17 × 41 × 131
Abundant Even Composite

44,192,588 factors as 2^2 × 11^2 × 17 × 41 × 131. Its 72 positive divisors give a proper-divisor sum of 48,713,764, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 17 × 41 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 92,906,352
Proper Divisor Sum 48,713,764
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #44192581 ← → #44192623

Radix Representation

Decimal 44192588
Binary 10101000100101001101001100 (26 bits)
Octal 0o250451514
Hexadecimal 0x2A2534C

Divisor Catalog (60 of 72)

1 2 4 11 17 22 34 41 44 68 82 121 131 164 187 242 262 374 451 484 524 697 748 902 1,394 1,441 1,804 2,057 2,227 2,788 2,882 4,114 4,454 4,961 5,371 5,764 7,667 8,228 8,908 9,922 10,742 15,334 15,851 19,844 21,484 24,497 30,668 31,702 48,994 59,081 63,404 84,337 91,307 97,988 118,162 168,674 182,614 236,324 269,467 337,348

Collatz Trajectory (217 steps to reach 1)

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

44,192,588 22,096,294 11,048,147 33,144,442 16,572,221 49,716,664 24,858,332 12,429,166 6,214,583 18,643,750 9,321,875 27,965,626 13,982,813 41,948,440 20,974,220 10,487,110 5,243,555 15,730,666 7,865,333 23,596,000 11,798,000 5,899,000 2,949,500 1,474,750 737,375 2,212,126 1,106,063 3,318,190 1,659,095 4,977,286 2,488,643 7,465,930 3,732,965 11,198,896 5,599,448 2,799,724 1,399,862 699,931 2,099,794 1,049,897 3,149,692 1,574,846 787,423 2,362,270 1,181,135 3,543,406 1,771,703 5,315,110 2,657,555 7,972,666 3,986,333 11,959,000 5,979,500 2,989,750 1,494,875 4,484,626 2,242,313 6,726,940 3,363,470 1,681,735

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