688,322

2 × 344161

Starting at 688,322, the Collatz iteration reaches 1 after 105 steps. The first transition is 344161; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 344161

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,032,486

Proper Divisor Sum 344,164

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #688309 ← → #688333

Radix Representation

Decimal	688322
Binary	10101000000011000010 (20 bits)
Octal	0o2500302
Hexadecimal	0xA80C2

Divisor Catalog (4)

1 2 344,161 688,322

Collatz Trajectory (105 steps to reach 1)

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

688,322 344,161 1,032,484 516,242 258,121 774,364 387,182 193,591 580,774 290,387 871,162 435,581 1,306,744 653,372 326,686 163,343 490,030 245,015 735,046 367,523 1,102,570 551,285 1,653,856 826,928 413,464 206,732 103,366 51,683 155,050 77,525 232,576 116,288 58,144 29,072 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

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