4,744,188

2² × 3² × 131783

Starting at 4,744,188, the Collatz iteration reaches 1 after 330 steps. The first transition is 2372094; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131783

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,992,344

Proper Divisor Sum 7,248,156

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4744183 ← → #4744199

Radix Representation

Decimal	4744188
Binary	10010000110001111111100 (23 bits)
Octal	0o22061774
Hexadecimal	0x4863FC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 131,783 263,566 395,349 527,132 790,698 1,186,047 1,581,396 2,372,094 4,744,188

Collatz Trajectory (330 steps to reach 1)

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

4,744,188 2,372,094 1,186,047 3,558,142 1,779,071 5,337,214 2,668,607 8,005,822 4,002,911 12,008,734 6,004,367 18,013,102 9,006,551 27,019,654 13,509,827 40,529,482 20,264,741 60,794,224 30,397,112 15,198,556 7,599,278 3,799,639 11,398,918 5,699,459 17,098,378 8,549,189 25,647,568 12,823,784 6,411,892 3,205,946 1,602,973 4,808,920 2,404,460 1,202,230 601,115 1,803,346 901,673 2,705,020 1,352,510 676,255 2,028,766 1,014,383 3,043,150 1,521,575 4,564,726 2,282,363 6,847,090 3,423,545 10,270,636 5,135,318 2,567,659 7,702,978 3,851,489 11,554,468 5,777,234 2,888,617 8,665,852 4,332,926 2,166,463 6,499,390

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