6,727,384

2³ × 840923

Starting at 6,727,384, the Collatz iteration reaches 1 after 209 steps. The first transition is 3363692; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 840923

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,613,860

Proper Divisor Sum 5,886,476

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6727379 ← → #6727397

Radix Representation

Decimal	6727384
Binary	11001101010011011011000 (23 bits)
Octal	0o31523330
Hexadecimal	0x66A6D8

Divisor Catalog (8)

1 2 4 8 840,923 1,681,846 3,363,692 6,727,384

Collatz Trajectory (209 steps to reach 1)

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

6,727,384 3,363,692 1,681,846 840,923 2,522,770 1,261,385 3,784,156 1,892,078 946,039 2,838,118 1,419,059 4,257,178 2,128,589 6,385,768 3,192,884 1,596,442 798,221 2,394,664 1,197,332 598,666 299,333 898,000 449,000 224,500 112,250 56,125 168,376 84,188 42,094 21,047 63,142 31,571 94,714 47,357 142,072 71,036 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114

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