6,612,662

2 × 7 × 472333

Starting at 6,612,662, the Collatz iteration reaches 1 after 240 steps. The first transition is 3306331; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 472333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,336,016

Proper Divisor Sum 4,723,354

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6612659 ← → #6612673

Radix Representation

Decimal	6612662
Binary	11001001110011010110110 (23 bits)
Octal	0o31163266
Hexadecimal	0x64E6B6

Divisor Catalog (8)

1 2 7 14 472,333 944,666 3,306,331 6,612,662

Collatz Trajectory (240 steps to reach 1)

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

6,612,662 3,306,331 9,918,994 4,959,497 14,878,492 7,439,246 3,719,623 11,158,870 5,579,435 16,738,306 8,369,153 25,107,460 12,553,730 6,276,865 18,830,596 9,415,298 4,707,649 14,122,948 7,061,474 3,530,737 10,592,212 5,296,106 2,648,053 7,944,160 3,972,080 1,986,040 993,020 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843 6,362,530 3,181,265 9,543,796 4,771,898 2,385,949 7,157,848 3,578,924 1,789,462 894,731 2,684,194 1,342,097 4,026,292 2,013,146 1,006,573 3,019,720 1,509,860

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