4,538,688

2⁶ × 3 × 7 × 11 × 307

Starting at 4,538,688, the Collatz iteration reaches 1 after 149 steps. The first transition is 2269344; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 11 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 15,020,544

Proper Divisor Sum 10,481,856

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4538687 ← → #4538707

Radix Representation

Decimal	4538688
Binary	10001010100000101000000 (23 bits)
Octal	0o21240500
Hexadecimal	0x454140

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 307 308 336 352 448 462 528 614 616 672 704 921 924 1,056 1,228 1,232 1,344 1,842 1,848 2,112 2,149 2,456 2,464 3,377

Collatz Trajectory (149 steps to reach 1)

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

4,538,688 2,269,344 1,134,672 567,336 283,668 141,834 70,917 212,752 106,376 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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