5,016,384

2⁶ × 3³ × 2903

Starting at 5,016,384, the Collatz iteration reaches 1 after 144 steps. The first transition is 2508192; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 2903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 14,752,320

Proper Divisor Sum 9,735,936

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5016379 ← → #5016413

Radix Representation

Decimal	5016384
Binary	10011001000101101000000 (23 bits)
Octal	0o23105500
Hexadecimal	0x4C8B40

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 2,903 5,806 8,709 11,612 17,418 23,224 26,127 34,836 46,448 52,254 69,672 78,381 92,896 104,508 139,344 156,762 185,792 209,016 278,688 313,524 418,032 557,376 627,048 836,064 1,254,096 1,672,128 2,508,192 5,016,384

Collatz Trajectory (144 steps to reach 1)

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

5,016,384 2,508,192 1,254,096 627,048 313,524 156,762 78,381 235,144 117,572 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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