8,418,496

2⁶ × 199 × 661

Starting at 8,418,496, the Collatz iteration reaches 1 after 230 steps. The first transition is 4209248; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 199 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 16,814,800

Proper Divisor Sum 8,396,304

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8418493 ← → #8418503

Radix Representation

Decimal	8418496
Binary	100000000111010011000000 (24 bits)
Octal	0o40072300
Hexadecimal	0x8074C0

Divisor Catalog (28)

1 2 4 8 16 32 64 199 398 661 796 1,322 1,592 2,644 3,184 5,288 6,368 10,576 12,736 21,152 42,304 131,539 263,078 526,156 1,052,312 2,104,624 4,209,248 8,418,496

Collatz Trajectory (230 steps to reach 1)

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

8,418,496 4,209,248 2,104,624 1,052,312 526,156 263,078 131,539 394,618 197,309 591,928 295,964 147,982 73,991 221,974 110,987 332,962 166,481 499,444 249,722 124,861 374,584 187,292 93,646 46,823 140,470 70,235 210,706 105,353 316,060 158,030 79,015 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381

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