4,944,393

3² × 83 × 6619

Starting at 4,944,393, the Collatz iteration reaches 1 after 113 steps. The first transition is 14833180; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 83 × 6619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,229,040

Proper Divisor Sum 2,284,647

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4944391 ← → #4944397

Radix Representation

Decimal	4944393
Binary	10010110111001000001001 (23 bits)
Octal	0o22671011
Hexadecimal	0x4B7209

Divisor Catalog (12)

1 3 9 83 249 747 6,619 19,857 59,571 549,377 1,648,131 4,944,393

Collatz Trajectory (113 steps to reach 1)

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

4,944,393 14,833,180 7,416,590 3,708,295 11,124,886 5,562,443 16,687,330 8,343,665 25,030,996 12,515,498 6,257,749 18,773,248 9,386,624 4,693,312 2,346,656 1,173,328 586,664 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372

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