4,309,443

3⁴ × 83 × 641

Starting at 4,309,443, the Collatz iteration reaches 1 after 123 steps. The first transition is 12928330; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 83 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,525,288

Proper Divisor Sum 2,215,845

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4309433 ← → #4309451

Radix Representation

Decimal	4309443
Binary	10000011100000111000011 (23 bits)
Octal	0o20340703
Hexadecimal	0x41C1C3

Divisor Catalog (20)

1 3 9 27 81 83 249 641 747 1,923 2,241 5,769 6,723 17,307 51,921 53,203 159,609 478,827 1,436,481 4,309,443

Collatz Trajectory (123 steps to reach 1)

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

4,309,443 12,928,330 6,464,165 19,392,496 9,696,248 4,848,124 2,424,062 1,212,031 3,636,094 1,818,047 5,454,142 2,727,071 8,181,214 4,090,607 12,271,822 6,135,911 18,407,734 9,203,867 27,611,602 13,805,801 41,417,404 20,708,702 10,354,351 31,063,054 15,531,527 46,594,582 23,297,291 69,891,874 34,945,937 104,837,812 52,418,906 26,209,453 78,628,360 39,314,180 19,657,090 9,828,545 29,485,636 14,742,818 7,371,409 22,114,228 11,057,114 5,528,557 16,585,672 8,292,836 4,146,418 2,073,209 6,219,628 3,109,814 1,554,907 4,664,722 2,332,361 6,997,084 3,498,542 1,749,271 5,247,814 2,623,907 7,871,722 3,935,861 11,807,584 5,903,792

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