6,667,511

31 × 37 × 5813

Starting at 6,667,511, the Collatz iteration reaches 1 after 178 steps. The first transition is 20002534; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 37 × 5813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,069,824

Proper Divisor Sum 402,313

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6667487 ← → #6667523

Radix Representation

Decimal	6667511
Binary	11001011011110011110111 (23 bits)
Octal	0o31336367
Hexadecimal	0x65BCF7

Divisor Catalog (8)

1 31 37 1,147 5,813 180,203 215,081 6,667,511

Collatz Trajectory (178 steps to reach 1)

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

6,667,511 20,002,534 10,001,267 30,003,802 15,001,901 45,005,704 22,502,852 11,251,426 5,625,713 16,877,140 8,438,570 4,219,285 12,657,856 6,328,928 3,164,464 1,582,232 791,116 395,558 197,779 593,338 296,669 890,008 445,004 222,502 111,251 333,754 166,877 500,632 250,316 125,158 62,579 187,738 93,869 281,608 140,804 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175

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