8,180,591

8180591

Starting at 8,180,591, the Collatz iteration reaches 1 after 186 steps. The first transition is 24541774; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8180591

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 8,180,592

Proper Divisor Sum 1

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8180573 ← → #8180593

Radix Representation

Decimal	8180591
Binary	11111001101001101101111 (23 bits)
Octal	0o37151557
Hexadecimal	0x7CD36F

Divisor Catalog (2)

1 8,180,591

Collatz Trajectory (186 steps to reach 1)

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

8,180,591 24,541,774 12,270,887 36,812,662 18,406,331 55,218,994 27,609,497 82,828,492 41,414,246 20,707,123 62,121,370 31,060,685 93,182,056 46,591,028 23,295,514 11,647,757 34,943,272 17,471,636 8,735,818 4,367,909 13,103,728 6,551,864 3,275,932 1,637,966 818,983 2,456,950 1,228,475 3,685,426 1,842,713 5,528,140 2,764,070 1,382,035 4,146,106 2,073,053 6,219,160 3,109,580 1,554,790 777,395 2,332,186 1,166,093 3,498,280 1,749,140 874,570 437,285 1,311,856 655,928 327,964 163,982 81,991 245,974 122,987 368,962 184,481 553,444 276,722 138,361 415,084 207,542 103,771 311,314

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