6,767,292

2² × 3 × 7² × 17 × 677

Starting at 6,767,292, the Collatz iteration reaches 1 after 134 steps. The first transition is 3383646; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 17 × 677

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,477,584

Proper Divisor Sum 12,710,292

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6767291 ← → #6767311

Radix Representation

Decimal	6767292
Binary	11001110100001010111100 (23 bits)
Octal	0o31641274
Hexadecimal	0x6742BC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 677 714 833 1,354 1,428 1,666 2,031 2,499 2,708 3,332 4,062 4,739 4,998 8,124 9,478 9,996 11,509 14,217 18,956 23,018 28,434 33,173 34,527 46,036 56,868 66,346 69,054 80,563 99,519 132,692 138,108 161,126

Collatz Trajectory (134 steps to reach 1)

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

6,767,292 3,383,646 1,691,823 5,075,470 2,537,735 7,613,206 3,806,603 11,419,810 5,709,905 17,129,716 8,564,858 4,282,429 12,847,288 6,423,644 3,211,822 1,605,911 4,817,734 2,408,867 7,226,602 3,613,301 10,839,904 5,419,952 2,709,976 1,354,988 677,494 338,747 1,016,242 508,121 1,524,364 762,182 381,091 1,143,274 571,637 1,714,912 857,456 428,728 214,364 107,182 53,591 160,774 80,387 241,162 120,581 361,744 180,872 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928

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