6,542,535

3 × 5 × 17 × 25657

Starting at 6,542,535, the Collatz iteration reaches 1 after 209 steps. The first transition is 19627606; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 25657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,084,256

Proper Divisor Sum 4,541,721

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6542531 ← → #6542537

Radix Representation

Decimal	6542535
Binary	11000111101010011000111 (23 bits)
Octal	0o30752307
Hexadecimal	0x63D4C7

Divisor Catalog (16)

1 3 5 15 17 51 85 255 25,657 76,971 128,285 384,855 436,169 1,308,507 2,180,845 6,542,535

Collatz Trajectory (209 steps to reach 1)

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

6,542,535 19,627,606 9,813,803 29,441,410 14,720,705 44,162,116 22,081,058 11,040,529 33,121,588 16,560,794 8,280,397 24,841,192 12,420,596 6,210,298 3,105,149 9,315,448 4,657,724 2,328,862 1,164,431 3,493,294 1,746,647 5,239,942 2,619,971 7,859,914 3,929,957 11,789,872 5,894,936 2,947,468 1,473,734 736,867 2,210,602 1,105,301 3,315,904 1,657,952 828,976 414,488 207,244 103,622 51,811 155,434 77,717 233,152 116,576 58,288 29,144 14,572 7,286 3,643 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153

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