8,200,379

11 × 223 × 3343

Starting at 8,200,379, the Collatz iteration reaches 1 after 199 steps. The first transition is 24601138; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 223 × 3343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,988,672

Proper Divisor Sum 788,293

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8200363 ← → #8200391

Radix Representation

Decimal	8200379
Binary	11111010010000010111011 (23 bits)
Octal	0o37220273
Hexadecimal	0x7D20BB

Divisor Catalog (8)

1 11 223 2,453 3,343 36,773 745,489 8,200,379

Collatz Trajectory (199 steps to reach 1)

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

8,200,379 24,601,138 12,300,569 36,901,708 18,450,854 9,225,427 27,676,282 13,838,141 41,514,424 20,757,212 10,378,606 5,189,303 15,567,910 7,783,955 23,351,866 11,675,933 35,027,800 17,513,900 8,756,950 4,378,475 13,135,426 6,567,713 19,703,140 9,851,570 4,925,785 14,777,356 7,388,678 3,694,339 11,083,018 5,541,509 16,624,528 8,312,264 4,156,132 2,078,066 1,039,033 3,117,100 1,558,550 779,275 2,337,826 1,168,913 3,506,740 1,753,370 876,685 2,630,056 1,315,028 657,514 328,757 986,272 493,136 246,568 123,284 61,642 30,821 92,464 46,232 23,116 11,558 5,779 17,338 8,669

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