766,633

7 × 109519

Starting at 766,633, the Collatz iteration reaches 1 after 162 steps. The first transition is 2299900; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 109519

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 876,160

Proper Divisor Sum 109,527

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #766609 ← → #766637

Radix Representation

Decimal	766633
Binary	10111011001010101001 (20 bits)
Octal	0o2731251
Hexadecimal	0xBB2A9

Divisor Catalog (4)

1 7 109,519 766,633

Collatz Trajectory (162 steps to reach 1)

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

766,633 2,299,900 1,149,950 574,975 1,724,926 862,463 2,587,390 1,293,695 3,881,086 1,940,543 5,821,630 2,910,815 8,732,446 4,366,223 13,098,670 6,549,335 19,648,006 9,824,003 29,472,010 14,736,005 44,208,016 22,104,008 11,052,004 5,526,002 2,763,001 8,289,004 4,144,502 2,072,251 6,216,754 3,108,377 9,325,132 4,662,566 2,331,283 6,993,850 3,496,925 10,490,776 5,245,388 2,622,694 1,311,347 3,934,042 1,967,021 5,901,064 2,950,532 1,475,266 737,633 2,212,900 1,106,450 553,225 1,659,676 829,838 414,919 1,244,758 622,379 1,867,138 933,569 2,800,708 1,400,354 700,177 2,100,532 1,050,266

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