6,403,112

2³ × 31 × 25819

Starting at 6,403,112, the Collatz iteration reaches 1 after 240 steps. The first transition is 3201556; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 31 × 25819

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,393,600

Proper Divisor Sum 5,990,488

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6403063 ← → #6403127

Radix Representation

Decimal	6403112
Binary	11000011011010000101000 (23 bits)
Octal	0o30332050
Hexadecimal	0x61B428

Divisor Catalog (16)

1 2 4 8 31 62 124 248 25,819 51,638 103,276 206,552 800,389 1,600,778 3,201,556 6,403,112

Collatz Trajectory (240 steps to reach 1)

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

6,403,112 3,201,556 1,600,778 800,389 2,401,168 1,200,584 600,292 300,146 150,073 450,220 225,110 112,555 337,666 168,833 506,500 253,250 126,625 379,876 189,938 94,969 284,908 142,454 71,227 213,682 106,841 320,524 160,262 80,131 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770

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