768,667

233 × 3299

768,667 factors as 233 × 3299. Its 4 positive divisors give a proper-divisor sum of 3,533, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 233 × 3299

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 772,200

Proper Divisor Sum 3,533

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #768653 ← → #768671

Radix Representation

Decimal	768667
Binary	10111011101010011011 (20 bits)
Octal	0o2735233
Hexadecimal	0xBBA9B

Divisor Catalog (4)

1 233 3,299 768,667

Collatz Trajectory (255 steps to reach 1)

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

768,667 2,306,002 1,153,001 3,459,004 1,729,502 864,751 2,594,254 1,297,127 3,891,382 1,945,691 5,837,074 2,918,537 8,755,612 4,377,806 2,188,903 6,566,710 3,283,355 9,850,066 4,925,033 14,775,100 7,387,550 3,693,775 11,081,326 5,540,663 16,621,990 8,310,995 24,932,986 12,466,493 37,399,480 18,699,740 9,349,870 4,674,935 14,024,806 7,012,403 21,037,210 10,518,605 31,555,816 15,777,908 7,888,954 3,944,477 11,833,432 5,916,716 2,958,358 1,479,179 4,437,538 2,218,769 6,656,308 3,328,154 1,664,077 4,992,232 2,496,116 1,248,058 624,029 1,872,088 936,044 468,022 234,011 702,034 351,017 1,053,052

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