6,926,463

3² × 17² × 2663

Starting at 6,926,463, the Collatz iteration reaches 1 after 129 steps. The first transition is 20779390; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17^2 × 2663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 10,632,024

Proper Divisor Sum 3,705,561

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6926461 ← → #6926471

Radix Representation

Decimal	6926463
Binary	11010011011000001111111 (23 bits)
Octal	0o32330177
Hexadecimal	0x69B07F

Divisor Catalog (18)

1 3 9 17 51 153 289 867 2,601 2,663 7,989 23,967 45,271 135,813 407,439 769,607 2,308,821 6,926,463

Collatz Trajectory (129 steps to reach 1)

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

6,926,463 20,779,390 10,389,695 31,169,086 15,584,543 46,753,630 23,376,815 70,130,446 35,065,223 105,195,670 52,597,835 157,793,506 78,896,753 236,690,260 118,345,130 59,172,565 177,517,696 88,758,848 44,379,424 22,189,712 11,094,856 5,547,428 2,773,714 1,386,857 4,160,572 2,080,286 1,040,143 3,120,430 1,560,215 4,680,646 2,340,323 7,020,970 3,510,485 10,531,456 5,265,728 2,632,864 1,316,432 658,216 329,108 164,554 82,277 246,832 123,416 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324

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