λ
Sequence Observatory

443,647

23 × 19289
Deficient Odd Composite

Starting at 443,647, the Collatz iteration reaches 1 after 218 steps. The first transition is 1330942; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 19289
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 462,960
Proper Divisor Sum 19,313
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #443629 ← → #443659

Radix Representation

Decimal 443647
Binary 1101100010011111111 (19 bits)
Octal 0o1542377
Hexadecimal 0x6C4FF

Divisor Catalog (4)

1 23 19,289 443,647

Collatz Trajectory (218 steps to reach 1)

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

443,647 1,330,942 665,471 1,996,414 998,207 2,994,622 1,497,311 4,491,934 2,245,967 6,737,902 3,368,951 10,106,854 5,053,427 15,160,282 7,580,141 22,740,424 11,370,212 5,685,106 2,842,553 8,527,660 4,263,830 2,131,915 6,395,746 3,197,873 9,593,620 4,796,810 2,398,405 7,195,216 3,597,608 1,798,804 899,402 449,701 1,349,104 674,552 337,276 168,638 84,319 252,958 126,479 379,438 189,719 569,158 284,579 853,738 426,869 1,280,608 640,304 320,152 160,076 80,038 40,019 120,058 60,029 180,088 90,044 45,022 22,511 67,534 33,767 101,302

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