748,668

2² × 3 × 89 × 701

748,668 is even and not a perfect square. Its factorization is 2^2 × 3 × 89 × 701 and its 24 divisors sum to 1,769,040.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,769,040

Proper Divisor Sum 1,020,372

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #748639 ← → #748669

Radix Representation

Decimal	748668
Binary	10110110110001111100 (20 bits)
Octal	0o2666174
Hexadecimal	0xB6C7C

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 701 1,068 1,402 2,103 2,804 4,206 8,412 62,389 124,778 187,167 249,556 374,334 748,668

Collatz Trajectory (136 steps to reach 1)

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

748,668 374,334 187,167 561,502 280,751 842,254 421,127 1,263,382 631,691 1,895,074 947,537 2,842,612 1,421,306 710,653 2,131,960 1,065,980 532,990 266,495 799,486 399,743 1,199,230 599,615 1,798,846 899,423 2,698,270 1,349,135 4,047,406 2,023,703 6,071,110 3,035,555 9,106,666 4,553,333 13,660,000 6,830,000 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662

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