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768,663

33 × 73 × 83
Deficient Odd Composite

768,663 factors as 3^3 × 7^3 × 83. Its 32 positive divisors give a proper-divisor sum of 575,337, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 7^3 × 83
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,344,000
Proper Divisor Sum 575,337
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #768653 ← → #768671

Radix Representation

Decimal 768663
Binary 10111011101010010111 (20 bits)
Octal 0o2735227
Hexadecimal 0xBBA97

Divisor Catalog (32)

1 3 7 9 21 27 49 63 83 147 189 249 343 441 581 747 1,029 1,323 1,743 2,241 3,087 4,067 5,229 9,261 12,201 15,687 28,469 36,603 85,407 109,809 256,221 768,663

Collatz Trajectory (87 steps to reach 1)

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

768,663 2,305,990 1,152,995 3,458,986 1,729,493 5,188,480 2,594,240 1,297,120 648,560 324,280 162,140 81,070 40,535 121,606 60,803 182,410 91,205 273,616 136,808 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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