4,400,693

11 × 229 × 1747

Starting at 4,400,693, the Collatz iteration reaches 1 after 87 steps. The first transition is 13202080; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 229 × 1747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,824,480

Proper Divisor Sum 423,787

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4400687 ← → #4400701

Radix Representation

Decimal	4400693
Binary	10000110010011000110101 (23 bits)
Octal	0o20623065
Hexadecimal	0x432635

Divisor Catalog (8)

1 11 229 1,747 2,519 19,217 400,063 4,400,693

Collatz Trajectory (87 steps to reach 1)

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

4,400,693 13,202,080 6,601,040 3,300,520 1,650,260 825,130 412,565 1,237,696 618,848 309,424 154,712 77,356 38,678 19,339 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130

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