6,655,756

2² × 277 × 6007

Starting at 6,655,756, the Collatz iteration reaches 1 after 209 steps. The first transition is 3327878; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 277 × 6007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,691,568

Proper Divisor Sum 5,035,812

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6655751 ← → #6655769

Radix Representation

Decimal	6655756
Binary	11001011000111100001100 (23 bits)
Octal	0o31307414
Hexadecimal	0x658F0C

Divisor Catalog (12)

1 2 4 277 554 1,108 6,007 12,014 24,028 1,663,939 3,327,878 6,655,756

Collatz Trajectory (209 steps to reach 1)

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

6,655,756 3,327,878 1,663,939 4,991,818 2,495,909 7,487,728 3,743,864 1,871,932 935,966 467,983 1,403,950 701,975 2,105,926 1,052,963 3,158,890 1,579,445 4,738,336 2,369,168 1,184,584 592,292 296,146 148,073 444,220 222,110 111,055 333,166 166,583 499,750 249,875 749,626 374,813 1,124,440 562,220 281,110 140,555 421,666 210,833 632,500 316,250 158,125 474,376 237,188 118,594 59,297 177,892 88,946 44,473 133,420 66,710 33,355 100,066 50,033 150,100 75,050 37,525 112,576 56,288 28,144 14,072 7,036

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