4,397,724

2² × 3² × 151 × 809

Starting at 4,397,724, the Collatz iteration reaches 1 after 193 steps. The first transition is 2198862; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 151 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,203,920

Proper Divisor Sum 6,806,196

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4397717 ← → #4397737

Radix Representation

Decimal	4397724
Binary	10000110001101010011100 (23 bits)
Octal	0o20615234
Hexadecimal	0x431A9C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 151 302 453 604 809 906 1,359 1,618 1,812 2,427 2,718 3,236 4,854 5,436 7,281 9,708 14,562 29,124 122,159 244,318 366,477 488,636 732,954 1,099,431 1,465,908 2,198,862 4,397,724

Collatz Trajectory (193 steps to reach 1)

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

4,397,724 2,198,862 1,099,431 3,298,294 1,649,147 4,947,442 2,473,721 7,421,164 3,710,582 1,855,291 5,565,874 2,782,937 8,348,812 4,174,406 2,087,203 6,261,610 3,130,805 9,392,416 4,696,208 2,348,104 1,174,052 587,026 293,513 880,540 440,270 220,135 660,406 330,203 990,610 495,305 1,485,916 742,958 371,479 1,114,438 557,219 1,671,658 835,829 2,507,488 1,253,744 626,872 313,436 156,718 78,359 235,078 117,539 352,618 176,309 528,928 264,464 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649

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