λ
Sequence Observatory

3,828,563

859 × 4457
Deficient Odd Composite

Starting at 3,828,563, the Collatz iteration reaches 1 after 247 steps. The first transition is 11485690; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 859 × 4457
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,833,880
Proper Divisor Sum 5,317
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3828523 ← → #3828571

Radix Representation

Decimal 3828563
Binary 1110100110101101010011 (22 bits)
Octal 0o16465523
Hexadecimal 0x3A6B53

Divisor Catalog (4)

1 859 4,457 3,828,563

Collatz Trajectory (247 steps to reach 1)

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

3,828,563 11,485,690 5,742,845 17,228,536 8,614,268 4,307,134 2,153,567 6,460,702 3,230,351 9,691,054 4,845,527 14,536,582 7,268,291 21,804,874 10,902,437 32,707,312 16,353,656 8,176,828 4,088,414 2,044,207 6,132,622 3,066,311 9,198,934 4,599,467 13,798,402 6,899,201 20,697,604 10,348,802 5,174,401 15,523,204 7,761,602 3,880,801 11,642,404 5,821,202 2,910,601 8,731,804 4,365,902 2,182,951 6,548,854 3,274,427 9,823,282 4,911,641 14,734,924 7,367,462 3,683,731 11,051,194 5,525,597 16,576,792 8,288,396 4,144,198 2,072,099 6,216,298 3,108,149 9,324,448 4,662,224 2,331,112 1,165,556 582,778 291,389 874,168

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