4,197,296

2⁴ × 262331

Starting at 4,197,296, the Collatz iteration reaches 1 after 105 steps. The first transition is 2098648; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 262331

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 8,132,292

Proper Divisor Sum 3,934,996

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4197253 ← → #4197299

Radix Representation

Decimal	4197296
Binary	10000000000101110110000 (23 bits)
Octal	0o20005660
Hexadecimal	0x400BB0

Divisor Catalog (10)

1 2 4 8 16 262,331 524,662 1,049,324 2,098,648 4,197,296

Collatz Trajectory (105 steps to reach 1)

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

4,197,296 2,098,648 1,049,324 524,662 262,331 786,994 393,497 1,180,492 590,246 295,123 885,370 442,685 1,328,056 664,028 332,014 166,007 498,022 249,011 747,034 373,517 1,120,552 560,276 280,138 140,069 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742

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