4,952,328

2³ × 3 × 206347

Starting at 4,952,328, the Collatz iteration reaches 1 after 175 steps. The first transition is 2476164; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 206347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,380,880

Proper Divisor Sum 7,428,552

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4952327 ← → #4952351

Radix Representation

Decimal	4952328
Binary	10010111001000100001000 (23 bits)
Octal	0o22710410
Hexadecimal	0x4B9108

Divisor Catalog (16)

1 2 3 4 6 8 12 24 206,347 412,694 619,041 825,388 1,238,082 1,650,776 2,476,164 4,952,328

Collatz Trajectory (175 steps to reach 1)

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

4,952,328 2,476,164 1,238,082 619,041 1,857,124 928,562 464,281 1,392,844 696,422 348,211 1,044,634 522,317 1,566,952 783,476 391,738 195,869 587,608 293,804 146,902 73,451 220,354 110,177 330,532 165,266 82,633 247,900 123,950 61,975 185,926 92,963 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

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