4,582,182

2 × 3 × 11 × 69427

Starting at 4,582,182, the Collatz iteration reaches 1 after 193 steps. The first transition is 2291091; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 69427

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,997,632

Proper Divisor Sum 5,415,450

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4582177 ← → #4582199

Radix Representation

Decimal	4582182
Binary	10001011110101100100110 (23 bits)
Octal	0o21365446
Hexadecimal	0x45EB26

Divisor Catalog (16)

1 2 3 6 11 22 33 66 69,427 138,854 208,281 416,562 763,697 1,527,394 2,291,091 4,582,182

Collatz Trajectory (193 steps to reach 1)

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

4,582,182 2,291,091 6,873,274 3,436,637 10,309,912 5,154,956 2,577,478 1,288,739 3,866,218 1,933,109 5,799,328 2,899,664 1,449,832 724,916 362,458 181,229 543,688 271,844 135,922 67,961 203,884 101,942 50,971 152,914 76,457 229,372 114,686 57,343 172,030 86,015 258,046 129,023 387,070 193,535 580,606 290,303 870,910 435,455 1,306,366 653,183 1,959,550 979,775 2,939,326 1,469,663 4,408,990 2,204,495 6,613,486 3,306,743 9,920,230 4,960,115 14,880,346 7,440,173 22,320,520 11,160,260 5,580,130 2,790,065 8,370,196 4,185,098 2,092,549 6,277,648

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