6,512,328

2³ × 3² × 151 × 599

Starting at 6,512,328, the Collatz iteration reaches 1 after 90 steps. The first transition is 3256164; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 151 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,784,000

Proper Divisor Sum 11,271,672

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6512323 ← → #6512329

Radix Representation

Decimal	6512328
Binary	11000110101111011001000 (23 bits)
Octal	0o30657310
Hexadecimal	0x635EC8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 599 604 906 1,198 1,208 1,359 1,797 1,812 2,396 2,718 3,594 3,624 4,792 5,391 5,436 7,188 10,782 10,872 14,376 21,564 43,128 90,449 180,898 271,347 361,796 542,694 723,592 814,041 1,085,388 1,628,082 2,170,776 3,256,164 6,512,328

Collatz Trajectory (90 steps to reach 1)

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

6,512,328 3,256,164 1,628,082 814,041 2,442,124 1,221,062 610,531 1,831,594 915,797 2,747,392 1,373,696 686,848 343,424 171,712 85,856 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

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