4,317,577

11 × 83 × 4729

Starting at 4,317,577, the Collatz iteration reaches 1 after 198 steps. The first transition is 12952732; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 83 × 4729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,767,840

Proper Divisor Sum 450,263

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4317571 ← → #4317601

Radix Representation

Decimal	4317577
Binary	10000011110000110001001 (23 bits)
Octal	0o20360611
Hexadecimal	0x41E189

Divisor Catalog (8)

1 11 83 913 4,729 52,019 392,507 4,317,577

Collatz Trajectory (198 steps to reach 1)

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

4,317,577 12,952,732 6,476,366 3,238,183 9,714,550 4,857,275 14,571,826 7,285,913 21,857,740 10,928,870 5,464,435 16,393,306 8,196,653 24,589,960 12,294,980 6,147,490 3,073,745 9,221,236 4,610,618 2,305,309 6,915,928 3,457,964 1,728,982 864,491 2,593,474 1,296,737 3,890,212 1,945,106 972,553 2,917,660 1,458,830 729,415 2,188,246 1,094,123 3,282,370 1,641,185 4,923,556 2,461,778 1,230,889 3,692,668 1,846,334 923,167 2,769,502 1,384,751 4,154,254 2,077,127 6,231,382 3,115,691 9,347,074 4,673,537 14,020,612 7,010,306 3,505,153 10,515,460 5,257,730 2,628,865 7,886,596 3,943,298 1,971,649 5,914,948

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