6,748,368

2⁴ × 3 × 11 × 12781

Starting at 6,748,368, the Collatz iteration reaches 1 after 147 steps. The first transition is 3374184; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 12781

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,019,616

Proper Divisor Sum 12,271,248

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6748367 ← → #6748373

Radix Representation

Decimal	6748368
Binary	11001101111100011010000 (23 bits)
Octal	0o31574320
Hexadecimal	0x66F8D0

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12,781 25,562 38,343 51,124 76,686 102,248 140,591 153,372 204,496 281,182 306,744 421,773 562,364 613,488 843,546 1,124,728 1,687,092 2,249,456 3,374,184 6,748,368

Collatz Trajectory (147 steps to reach 1)

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

6,748,368 3,374,184 1,687,092 843,546 421,773 1,265,320 632,660 316,330 158,165 474,496 237,248 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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