λ
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768,668

22 × 41 × 43 × 109
Deficient Even Composite

768,668 factors as 2^2 × 41 × 43 × 109. Its 24 positive divisors give a proper-divisor sum of 654,292, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 43 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,422,960
Proper Divisor Sum 654,292
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #768653 ← → #768671

Radix Representation

Decimal 768668
Binary 10111011101010011100 (20 bits)
Octal 0o2735234
Hexadecimal 0xBBA9C

Divisor Catalog (24)

1 2 4 41 43 82 86 109 164 172 218 436 1,763 3,526 4,469 4,687 7,052 8,938 9,374 17,876 18,748 192,167 384,334 768,668

Collatz Trajectory (180 steps to reach 1)

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

768,668 384,334 192,167 576,502 288,251 864,754 432,377 1,297,132 648,566 324,283 972,850 486,425 1,459,276 729,638 364,819 1,094,458 547,229 1,641,688 820,844 410,422 205,211 615,634 307,817 923,452 461,726 230,863 692,590 346,295 1,038,886 519,443 1,558,330 779,165 2,337,496 1,168,748 584,374 292,187 876,562 438,281 1,314,844 657,422 328,711 986,134 493,067 1,479,202 739,601 2,218,804 1,109,402 554,701 1,664,104 832,052 416,026 208,013 624,040 312,020 156,010 78,005 234,016 117,008 58,504 29,252

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