42,579,108

2² × 3⁴ × 11 × 13 × 919

42,579,108 factors as 2^2 × 3^4 × 11 × 13 × 919. Its 120 positive divisors give a proper-divisor sum of 88,333,212, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 13 × 919

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 130,912,320

Proper Divisor Sum 88,333,212

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #42579107 ← → #42579139

Radix Representation

Decimal	42579108
Binary	10100010011011010010100100 (26 bits)
Octal	0o242332244
Hexadecimal	0x289B4A4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 919 1,053 1,188 1,287 1,404 1,716 1,782 1,838 2,106 2,574 2,757 3,564 3,676 3,861 4,212 5,148 5,514

Collatz Trajectory (222 steps to reach 1)

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

42,579,108 21,289,554 10,644,777 31,934,332 15,967,166 7,983,583 23,950,750 11,975,375 35,926,126 17,963,063 53,889,190 26,944,595 80,833,786 40,416,893 121,250,680 60,625,340 30,312,670 15,156,335 45,469,006 22,734,503 68,203,510 34,101,755 102,305,266 51,152,633 153,457,900 76,728,950 38,364,475 115,093,426 57,546,713 172,640,140 86,320,070 43,160,035 129,480,106 64,740,053 194,220,160 97,110,080 48,555,040 24,277,520 12,138,760 6,069,380 3,034,690 1,517,345 4,552,036 2,276,018 1,138,009 3,414,028 1,707,014 853,507 2,560,522 1,280,261 3,840,784 1,920,392 960,196 480,098 240,049 720,148 360,074 180,037 540,112 270,056

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