689,804

2² × 331 × 521

Starting at 689,804, the Collatz iteration reaches 1 after 79 steps. The first transition is 344902; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 331 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,213,128

Proper Divisor Sum 523,324

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #689803 ← → #689807

Radix Representation

Decimal	689804
Binary	10101000011010001100 (20 bits)
Octal	0o2503214
Hexadecimal	0xA868C

Divisor Catalog (12)

1 2 4 331 521 662 1,042 1,324 2,084 172,451 344,902 689,804

Collatz Trajectory (79 steps to reach 1)

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

689,804 344,902 172,451 517,354 258,677 776,032 388,016 194,008 97,004 48,502 24,251 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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