4,668,168

2³ × 3 × 194507

Starting at 4,668,168, the Collatz iteration reaches 1 after 74 steps. The first transition is 2334084; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 194507

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,670,480

Proper Divisor Sum 7,002,312

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4668163 ← → #4668199

Radix Representation

Decimal	4668168
Binary	10001110011101100001000 (23 bits)
Octal	0o21635410
Hexadecimal	0x473B08

Divisor Catalog (16)

1 2 3 4 6 8 12 24 194,507 389,014 583,521 778,028 1,167,042 1,556,056 2,334,084 4,668,168

Collatz Trajectory (74 steps to reach 1)

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

4,668,168 2,334,084 1,167,042 583,521 1,750,564 875,282 437,641 1,312,924 656,462 328,231 984,694 492,347 1,477,042 738,521 2,215,564 1,107,782 553,891 1,661,674 830,837 2,492,512 1,246,256 623,128 311,564 155,782 77,891 233,674 116,837 350,512 175,256 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23

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