λ
Sequence Observatory

9,841,539

3 × 23 × 31 × 43 × 107
Deficient Odd Composite

Starting at 9,841,539, the Collatz iteration reaches 1 after 83 steps. The first transition is 29524618; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 31 × 43 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,598,144
Proper Divisor Sum 4,756,605
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9841537 ← → #9841543

Radix Representation

Decimal 9841539
Binary 100101100010101110000011 (24 bits)
Octal 0o45425603
Hexadecimal 0x962B83

Divisor Catalog (32)

1 3 23 31 43 69 93 107 129 321 713 989 1,333 2,139 2,461 2,967 3,317 3,999 4,601 7,383 9,951 13,803 30,659 76,291 91,977 105,823 142,631 228,873 317,469 427,893 3,280,513 9,841,539

Collatz Trajectory (83 steps to reach 1)

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

9,841,539 29,524,618 14,762,309 44,286,928 22,143,464 11,071,732 5,535,866 2,767,933 8,303,800 4,151,900 2,075,950 1,037,975 3,113,926 1,556,963 4,670,890 2,335,445 7,006,336 3,503,168 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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