λ
Sequence Observatory

4,324,464

24 × 32 × 59 × 509
Abundant Even Composite

Starting at 4,324,464, the Collatz iteration reaches 1 after 66 steps. The first transition is 2162232; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 59 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,331,800
Proper Divisor Sum 8,007,336
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4324433 ← → #4324471

Radix Representation

Decimal 4324464
Binary 10000011111110001110000 (23 bits)
Octal 0o20376160
Hexadecimal 0x41FC70

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 509 531 708 944 1,018 1,062 1,416 1,527 2,036 2,124 2,832 3,054 4,072 4,248 4,581 6,108 8,144 8,496 9,162 12,216 18,324 24,432 30,031 36,648 60,062 73,296 90,093 120,124 180,186 240,248 270,279 360,372 480,496 540,558 720,744 1,081,116 1,441,488 2,162,232 4,324,464

Collatz Trajectory (66 steps to reach 1)

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

4,324,464 2,162,232 1,081,116 540,558 270,279 810,838 405,419 1,216,258 608,129 1,824,388 912,194 456,097 1,368,292 684,146 342,073 1,026,220 513,110 256,555 769,666 384,833 1,154,500 577,250 288,625 865,876 432,938 216,469 649,408 324,704 162,352 81,176 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128

More profiles

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