4,366,089

3³ × 7 × 13 × 1777

Starting at 4,366,089, the Collatz iteration reaches 1 after 136 steps. The first transition is 13098268; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 13 × 1777

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,965,440

Proper Divisor Sum 3,599,351

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4366079 ← → #4366097

Radix Representation

Decimal	4366089
Binary	10000101001111100001001 (23 bits)
Octal	0o20517411
Hexadecimal	0x429F09

Divisor Catalog (32)

1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 1,777 2,457 5,331 12,439 15,993 23,101 37,317 47,979 69,303 111,951 161,707 207,909 335,853 485,121 623,727 1,455,363 4,366,089

Collatz Trajectory (136 steps to reach 1)

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

4,366,089 13,098,268 6,549,134 3,274,567 9,823,702 4,911,851 14,735,554 7,367,777 22,103,332 11,051,666 5,525,833 16,577,500 8,288,750 4,144,375 12,433,126 6,216,563 18,649,690 9,324,845 27,974,536 13,987,268 6,993,634 3,496,817 10,490,452 5,245,226 2,622,613 7,867,840 3,933,920 1,966,960 983,480 491,740 245,870 122,935 368,806 184,403 553,210 276,605 829,816 414,908 207,454 103,727 311,182 155,591 466,774 233,387 700,162 350,081 1,050,244 525,122 262,561 787,684 393,842 196,921 590,764 295,382 147,691 443,074 221,537 664,612 332,306 166,153

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