6,722,961

3 × 7 × 320141

Starting at 6,722,961, the Collatz iteration reaches 1 after 85 steps. The first transition is 20168884; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 320141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,244,544

Proper Divisor Sum 3,521,583

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6722957 ← → #6722987

Radix Representation

Decimal	6722961
Binary	11001101001010110010001 (23 bits)
Octal	0o31512621
Hexadecimal	0x669591

Divisor Catalog (8)

1 3 7 21 320,141 960,423 2,240,987 6,722,961

Collatz Trajectory (85 steps to reach 1)

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

6,722,961 20,168,884 10,084,442 5,042,221 15,126,664 7,563,332 3,781,666 1,890,833 5,672,500 2,836,250 1,418,125 4,254,376 2,127,188 1,063,594 531,797 1,595,392 797,696 398,848 199,424 99,712 49,856 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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