8,200,166

2 × 13 × 139 × 2269

Starting at 8,200,166, the Collatz iteration reaches 1 after 186 steps. The first transition is 4100083; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 139 × 2269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,347,600

Proper Divisor Sum 5,147,434

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8200147 ← → #8200177

Radix Representation

Decimal	8200166
Binary	11111010001111111100110 (23 bits)
Octal	0o37217746
Hexadecimal	0x7D1FE6

Divisor Catalog (16)

1 2 13 26 139 278 1,807 2,269 3,614 4,538 29,497 58,994 315,391 630,782 4,100,083 8,200,166

Collatz Trajectory (186 steps to reach 1)

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

8,200,166 4,100,083 12,300,250 6,150,125 18,450,376 9,225,188 4,612,594 2,306,297 6,918,892 3,459,446 1,729,723 5,189,170 2,594,585 7,783,756 3,891,878 1,945,939 5,837,818 2,918,909 8,756,728 4,378,364 2,189,182 1,094,591 3,283,774 1,641,887 4,925,662 2,462,831 7,388,494 3,694,247 11,082,742 5,541,371 16,624,114 8,312,057 24,936,172 12,468,086 6,234,043 18,702,130 9,351,065 28,053,196 14,026,598 7,013,299 21,039,898 10,519,949 31,559,848 15,779,924 7,889,962 3,944,981 11,834,944 5,917,472 2,958,736 1,479,368 739,684 369,842 184,921 554,764 277,382 138,691 416,074 208,037 624,112 312,056

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