λ
Sequence Observatory

9,189,648

24 × 32 × 13 × 4909
Abundant Even Composite

Starting at 9,189,648, the Collatz iteration reaches 1 after 150 steps. The first transition is 4594824; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 4909
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 27,702,220
Proper Divisor Sum 18,512,572
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9189647 ← → #9189667

Radix Representation

Decimal 9189648
Binary 100011000011100100010000 (24 bits)
Octal 0o43034420
Hexadecimal 0x8C3910

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 4,909 9,818 14,727 19,636 29,454 39,272 44,181 58,908 63,817 78,544 88,362 117,816 127,634 176,724 191,451 235,632 255,268 353,448 382,902 510,536 574,353 706,896 765,804 1,021,072 1,148,706 1,531,608 2,297,412 3,063,216 4,594,824 9,189,648

Collatz Trajectory (150 steps to reach 1)

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

9,189,648 4,594,824 2,297,412 1,148,706 574,353 1,723,060 861,530 430,765 1,292,296 646,148 323,074 161,537 484,612 242,306 121,153 363,460 181,730 90,865 272,596 136,298 68,149 204,448 102,224 51,112 25,556 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

More profiles

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