4,446,288

2⁴ × 3² × 7 × 11 × 401

Starting at 4,446,288, the Collatz iteration reaches 1 after 118 steps. The first transition is 2223144; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,552,576

Proper Divisor Sum 11,106,288

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4446269 ← → #4446293

Radix Representation

Decimal	4446288
Binary	10000111101100001010000 (23 bits)
Octal	0o20754120
Hexadecimal	0x43D850

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 401 462 504 528 616 693 792 802 924 1,008 1,203 1,232 1,386 1,584 1,604 1,848

Collatz Trajectory (118 steps to reach 1)

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

4,446,288 2,223,144 1,111,572 555,786 277,893 833,680 416,840 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204

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