6,777,032

2³ × 847129

Starting at 6,777,032, the Collatz iteration reaches 1 after 160 steps. The first transition is 3388516; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 847129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,706,950

Proper Divisor Sum 5,929,918

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6777011 ← → #6777041

Radix Representation

Decimal	6777032
Binary	11001110110100011001000 (23 bits)
Octal	0o31664310
Hexadecimal	0x6768C8

Divisor Catalog (8)

1 2 4 8 847,129 1,694,258 3,388,516 6,777,032

Collatz Trajectory (160 steps to reach 1)

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

6,777,032 3,388,516 1,694,258 847,129 2,541,388 1,270,694 635,347 1,906,042 953,021 2,859,064 1,429,532 714,766 357,383 1,072,150 536,075 1,608,226 804,113 2,412,340 1,206,170 603,085 1,809,256 904,628 452,314 226,157 678,472 339,236 169,618 84,809 254,428 127,214 63,607 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165

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