8,403,432

2³ × 3 × 337 × 1039

Starting at 8,403,432, the Collatz iteration reaches 1 after 75 steps. The first transition is 4201716; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 337 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,091,200

Proper Divisor Sum 12,687,768

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8403431 ← → #8403481

Radix Representation

Decimal	8403432
Binary	100000000011100111101000 (24 bits)
Octal	0o40034750
Hexadecimal	0x8039E8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 337 674 1,011 1,039 1,348 2,022 2,078 2,696 3,117 4,044 4,156 6,234 8,088 8,312 12,468 24,936 350,143 700,286 1,050,429 1,400,572 2,100,858 2,801,144 4,201,716 8,403,432

Collatz Trajectory (75 steps to reach 1)

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

8,403,432 4,201,716 2,100,858 1,050,429 3,151,288 1,575,644 787,822 393,911 1,181,734 590,867 1,772,602 886,301 2,658,904 1,329,452 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728 560,864 280,432 140,216 70,108 35,054 17,527 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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