4,428,068

2² × 29 × 59 × 647

Starting at 4,428,068, the Collatz iteration reaches 1 after 167 steps. The first transition is 2214034; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 59 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,164,800

Proper Divisor Sum 3,736,732

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4428059 ← → #4428079

Radix Representation

Decimal	4428068
Binary	10000111001000100100100 (23 bits)
Octal	0o20710444
Hexadecimal	0x439124

Divisor Catalog (24)

1 2 4 29 58 59 116 118 236 647 1,294 1,711 2,588 3,422 6,844 18,763 37,526 38,173 75,052 76,346 152,692 1,107,017 2,214,034 4,428,068

Collatz Trajectory (167 steps to reach 1)

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

4,428,068 2,214,034 1,107,017 3,321,052 1,660,526 830,263 2,490,790 1,245,395 3,736,186 1,868,093 5,604,280 2,802,140 1,401,070 700,535 2,101,606 1,050,803 3,152,410 1,576,205 4,728,616 2,364,308 1,182,154 591,077 1,773,232 886,616 443,308 221,654 110,827 332,482 166,241 498,724 249,362 124,681 374,044 187,022 93,511 280,534 140,267 420,802 210,401 631,204 315,602 157,801 473,404 236,702 118,351 355,054 177,527 532,582 266,291 798,874 399,437 1,198,312 599,156 299,578 149,789 449,368 224,684 112,342 56,171 168,514

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