42,579,244

2² × 31 × 343381

42,579,244 factors as 2^2 × 31 × 343381. Its 12 positive divisors give a proper-divisor sum of 34,338,324, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 343381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 76,917,568

Proper Divisor Sum 34,338,324

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #42579241 ← → #42579253

Radix Representation

Decimal	42579244
Binary	10100010011011010100101100 (26 bits)
Octal	0o242332454
Hexadecimal	0x289B52C

Divisor Catalog (12)

1 2 4 31 62 124 343,381 686,762 1,373,524 10,644,811 21,289,622 42,579,244

Collatz Trajectory (129 steps to reach 1)

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

42,579,244 21,289,622 10,644,811 31,934,434 15,967,217 47,901,652 23,950,826 11,975,413 35,926,240 17,963,120 8,981,560 4,490,780 2,245,390 1,122,695 3,368,086 1,684,043 5,052,130 2,526,065 7,578,196 3,789,098 1,894,549 5,683,648 2,841,824 1,420,912 710,456 355,228 177,614 88,807 266,422 133,211 399,634 199,817 599,452 299,726 149,863 449,590 224,795 674,386 337,193 1,011,580 505,790 252,895 758,686 379,343 1,138,030 569,015 1,707,046 853,523 2,560,570 1,280,285 3,840,856 1,920,428 960,214 480,107 1,440,322 720,161 2,160,484 1,080,242 540,121 1,620,364

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