6,733,548

2² × 3² × 187043

Starting at 6,733,548, the Collatz iteration reaches 1 after 72 steps. The first transition is 3366774; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 187043

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 17,021,004

Proper Divisor Sum 10,287,456

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6733511 ← → #6733579

Radix Representation

Decimal	6733548
Binary	11001101011111011101100 (23 bits)
Octal	0o31537354
Hexadecimal	0x66BEEC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 187,043 374,086 561,129 748,172 1,122,258 1,683,387 2,244,516 3,366,774 6,733,548

Collatz Trajectory (72 steps to reach 1)

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

6,733,548 3,366,774 1,683,387 5,050,162 2,525,081 7,575,244 3,787,622 1,893,811 5,681,434 2,840,717 8,522,152 4,261,076 2,130,538 1,065,269 3,195,808 1,597,904 798,952 399,476 199,738 99,869 299,608 149,804 74,902 37,451 112,354 56,177 168,532 84,266 42,133 126,400 63,200 31,600 15,800 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

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