6,942,562

2 × 11 × 17 × 19 × 977

Starting at 6,942,562, the Collatz iteration reaches 1 after 98 steps. The first transition is 3471281; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 19 × 977

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,674,880

Proper Divisor Sum 5,732,318

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6942553 ← → #6942563

Radix Representation

Decimal	6942562
Binary	11010011110111101100010 (23 bits)
Octal	0o32367542
Hexadecimal	0x69EF62

Divisor Catalog (32)

1 2 11 17 19 22 34 38 187 209 323 374 418 646 977 1,954 3,553 7,106 10,747 16,609 18,563 21,494 33,218 37,126 182,699 204,193 315,571 365,398 408,386 631,142 3,471,281 6,942,562

Collatz Trajectory (98 steps to reach 1)

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

6,942,562 3,471,281 10,413,844 5,206,922 2,603,461 7,810,384 3,905,192 1,952,596 976,298 488,149 1,464,448 732,224 366,112 183,056 91,528 45,764 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228

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