5,072,112

2⁴ × 3³ × 59 × 199

Starting at 5,072,112, the Collatz iteration reaches 1 after 82 steps. The first transition is 2536056; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 59 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,880,000

Proper Divisor Sum 9,807,888

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5072063 ← → #5072117

Radix Representation

Decimal	5072112
Binary	10011010110010011110000 (23 bits)
Octal	0o23262360
Hexadecimal	0x4D64F0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 199 216 236 354 398 432 472 531 597 708 796 944 1,062 1,194 1,416 1,592 1,593 1,791 2,124 2,388 2,832 3,184 3,186 3,582 4,248 4,776 5,373 6,372 7,164 8,496 9,552 10,746 11,741 12,744 14,328 21,492 23,482 25,488 28,656

Collatz Trajectory (82 steps to reach 1)

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

5,072,112 2,536,056 1,268,028 634,014 317,007 951,022 475,511 1,426,534 713,267 2,139,802 1,069,901 3,209,704 1,604,852 802,426 401,213 1,203,640 601,820 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149

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