4,110,583

17 × 23 × 10513

Starting at 4,110,583, the Collatz iteration reaches 1 after 198 steps. The first transition is 12331750; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 23 × 10513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,542,048

Proper Divisor Sum 431,465

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4110571 ← → #4110611

Radix Representation

Decimal	4110583
Binary	1111101011100011110111 (22 bits)
Octal	0o17534367
Hexadecimal	0x3EB8F7

Divisor Catalog (8)

1 17 23 391 10,513 178,721 241,799 4,110,583

Collatz Trajectory (198 steps to reach 1)

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

4,110,583 12,331,750 6,165,875 18,497,626 9,248,813 27,746,440 13,873,220 6,936,610 3,468,305 10,404,916 5,202,458 2,601,229 7,803,688 3,901,844 1,950,922 975,461 2,926,384 1,463,192 731,596 365,798 182,899 548,698 274,349 823,048 411,524 205,762 102,881 308,644 154,322 77,161 231,484 115,742 57,871 173,614 86,807 260,422 130,211 390,634 195,317 585,952 292,976 146,488 73,244 36,622 18,311 54,934 27,467 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346

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