42,246,765

3⁵ × 5 × 11 × 29 × 109

Prime Factor Structure

Factorization String 3^5 × 5 × 11 × 29 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 86,486,400

Proper Divisor Sum 44,239,635

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #42246739 ← → #42246767

Radix Representation

Decimal	42246765
Binary	10100001001010001001101101 (26 bits)
Octal	0o241121155
Hexadecimal	0x284A26D

Divisor Catalog (60 of 96)

1 3 5 9 11 15 27 29 33 45 55 81 87 99 109 135 145 165 243 261 297 319 327 405 435 495 545 783 891 957 981 1,199 1,215 1,305 1,485 1,595 1,635 2,349 2,673 2,871 2,943 3,161 3,597 3,915 4,455 4,785 4,905 5,995 7,047 8,613 8,829 9,483 10,791 11,745 13,365 14,355 14,715 15,805 17,985 25,839

Collatz Trajectory (178 steps to reach 1)

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

42,246,765 126,740,296 63,370,148 31,685,074 15,842,537 47,527,612 23,763,806 11,881,903 35,645,710 17,822,855 53,468,566 26,734,283 80,202,850 40,101,425 120,304,276 60,152,138 30,076,069 90,228,208 45,114,104 22,557,052 11,278,526 5,639,263 16,917,790 8,458,895 25,376,686 12,688,343 38,065,030 19,032,515 57,097,546 28,548,773 85,646,320 42,823,160 21,411,580 10,705,790 5,352,895 16,058,686 8,029,343 24,088,030 12,044,015 36,132,046 18,066,023 54,198,070 27,099,035 81,297,106 40,648,553 121,945,660 60,972,830 30,486,415 91,459,246 45,729,623 137,188,870 68,594,435 205,783,306 102,891,653 308,674,960 154,337,480 77,168,740 38,584,370 19,292,185 57,876,556

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