8,042,185

5 × 1608437

Starting at 8,042,185, the Collatz iteration reaches 1 after 261 steps. The first transition is 24126556; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1608437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,650,628

Proper Divisor Sum 1,608,443

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8042183 ← → #8042189

Radix Representation

Decimal	8042185
Binary	11110101011011011001001 (23 bits)
Octal	0o36533311
Hexadecimal	0x7AB6C9

Divisor Catalog (4)

1 5 1,608,437 8,042,185

Collatz Trajectory (261 steps to reach 1)

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

8,042,185 24,126,556 12,063,278 6,031,639 18,094,918 9,047,459 27,142,378 13,571,189 40,713,568 20,356,784 10,178,392 5,089,196 2,544,598 1,272,299 3,816,898 1,908,449 5,725,348 2,862,674 1,431,337 4,294,012 2,147,006 1,073,503 3,220,510 1,610,255 4,830,766 2,415,383 7,246,150 3,623,075 10,869,226 5,434,613 16,303,840 8,151,920 4,075,960 2,037,980 1,018,990 509,495 1,528,486 764,243 2,292,730 1,146,365 3,439,096 1,719,548 859,774 429,887 1,289,662 644,831 1,934,494 967,247 2,901,742 1,450,871 4,352,614 2,176,307 6,528,922 3,264,461 9,793,384 4,896,692 2,448,346 1,224,173 3,672,520 1,836,260

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