5,307,504

2⁴ × 3 × 110573

Starting at 5,307,504, the Collatz iteration reaches 1 after 144 steps. The first transition is 2653752; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 110573

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,711,176

Proper Divisor Sum 8,403,672

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5307481 ← → #5307509

Radix Representation

Decimal	5307504
Binary	10100001111110001110000 (23 bits)
Octal	0o24176160
Hexadecimal	0x50FC70

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 110,573 221,146 331,719 442,292 663,438 884,584 1,326,876 1,769,168 2,653,752 5,307,504

Collatz Trajectory (144 steps to reach 1)

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

5,307,504 2,653,752 1,326,876 663,438 331,719 995,158 497,579 1,492,738 746,369 2,239,108 1,119,554 559,777 1,679,332 839,666 419,833 1,259,500 629,750 314,875 944,626 472,313 1,416,940 708,470 354,235 1,062,706 531,353 1,594,060 797,030 398,515 1,195,546 597,773 1,793,320 896,660 448,330 224,165 672,496 336,248 168,124 84,062 42,031 126,094 63,047 189,142 94,571 283,714 141,857 425,572 212,786 106,393 319,180 159,590 79,795 239,386 119,693 359,080 179,540 89,770 44,885 134,656 67,328 33,664

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