4,475,386

2 × 17 × 23 × 59 × 97

Starting at 4,475,386, the Collatz iteration reaches 1 after 224 steps. The first transition is 2237693; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 59 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,620,480

Proper Divisor Sum 3,145,094

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4475357 ← → #4475389

Radix Representation

Decimal	4475386
Binary	10001000100100111111010 (23 bits)
Octal	0o21044772
Hexadecimal	0x4449FA

Divisor Catalog (32)

1 2 17 23 34 46 59 97 118 194 391 782 1,003 1,357 1,649 2,006 2,231 2,714 3,298 4,462 5,723 11,446 23,069 37,927 46,138 75,854 97,291 131,629 194,582 263,258 2,237,693 4,475,386

Collatz Trajectory (224 steps to reach 1)

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

4,475,386 2,237,693 6,713,080 3,356,540 1,678,270 839,135 2,517,406 1,258,703 3,776,110 1,888,055 5,664,166 2,832,083 8,496,250 4,248,125 12,744,376 6,372,188 3,186,094 1,593,047 4,779,142 2,389,571 7,168,714 3,584,357 10,753,072 5,376,536 2,688,268 1,344,134 672,067 2,016,202 1,008,101 3,024,304 1,512,152 756,076 378,038 189,019 567,058 283,529 850,588 425,294 212,647 637,942 318,971 956,914 478,457 1,435,372 717,686 358,843 1,076,530 538,265 1,614,796 807,398 403,699 1,211,098 605,549 1,816,648 908,324 454,162 227,081 681,244 340,622 170,311

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