6,768,742

2 × 67 × 50513

Starting at 6,768,742, the Collatz iteration reaches 1 after 108 steps. The first transition is 3384371; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 67 × 50513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,304,856

Proper Divisor Sum 3,536,114

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6768721 ← → #6768761

Radix Representation

Decimal	6768742
Binary	11001110100100001100110 (23 bits)
Octal	0o31644146
Hexadecimal	0x674866

Divisor Catalog (8)

1 2 67 134 50,513 101,026 3,384,371 6,768,742

Collatz Trajectory (108 steps to reach 1)

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

6,768,742 3,384,371 10,153,114 5,076,557 15,229,672 7,614,836 3,807,418 1,903,709 5,711,128 2,855,564 1,427,782 713,891 2,141,674 1,070,837 3,212,512 1,606,256 803,128 401,564 200,782 100,391 301,174 150,587 451,762 225,881 677,644 338,822 169,411 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934

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