4,944,558

2 × 3 × 29 × 157 × 181

Starting at 4,944,558, the Collatz iteration reaches 1 after 113 steps. The first transition is 2472279; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 157 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,352,160

Proper Divisor Sum 5,407,602

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4944557 ← → #4944571

Radix Representation

Decimal	4944558
Binary	10010110111001010101110 (23 bits)
Octal	0o22671256
Hexadecimal	0x4B72AE

Divisor Catalog (32)

1 2 3 6 29 58 87 157 174 181 314 362 471 543 942 1,086 4,553 5,249 9,106 10,498 13,659 15,747 27,318 28,417 31,494 56,834 85,251 170,502 824,093 1,648,186 2,472,279 4,944,558

Collatz Trajectory (113 steps to reach 1)

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

4,944,558 2,472,279 7,416,838 3,708,419 11,125,258 5,562,629 16,687,888 8,343,944 4,171,972 2,085,986 1,042,993 3,128,980 1,564,490 782,245 2,346,736 1,173,368 586,684 293,342 146,671 440,014 220,007 660,022 330,011 990,034 495,017 1,485,052 742,526 371,263 1,113,790 556,895 1,670,686 835,343 2,506,030 1,253,015 3,759,046 1,879,523 5,638,570 2,819,285 8,457,856 4,228,928 2,114,464 1,057,232 528,616 264,308 132,154 66,077 198,232 99,116 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227

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