7,726,958

2 × 19 × 203341

Starting at 7,726,958, the Collatz iteration reaches 1 after 230 steps. The first transition is 3863479; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 203341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,200,520

Proper Divisor Sum 4,473,562

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7726933 ← → #7726973

Radix Representation

Decimal	7726958
Binary	11101011110011101101110 (23 bits)
Octal	0o35363556
Hexadecimal	0x75E76E

Divisor Catalog (8)

1 2 19 38 203,341 406,682 3,863,479 7,726,958

Collatz Trajectory (230 steps to reach 1)

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

7,726,958 3,863,479 11,590,438 5,795,219 17,385,658 8,692,829 26,078,488 13,039,244 6,519,622 3,259,811 9,779,434 4,889,717 14,669,152 7,334,576 3,667,288 1,833,644 916,822 458,411 1,375,234 687,617 2,062,852 1,031,426 515,713 1,547,140 773,570 386,785 1,160,356 580,178 290,089 870,268 435,134 217,567 652,702 326,351 979,054 489,527 1,468,582 734,291 2,202,874 1,101,437 3,304,312 1,652,156 826,078 413,039 1,239,118 619,559 1,858,678 929,339 2,788,018 1,394,009 4,182,028 2,091,014 1,045,507 3,136,522 1,568,261 4,704,784 2,352,392 1,176,196 588,098 294,049

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