8,160,212

2² × 2040053

Starting at 8,160,212, the Collatz iteration reaches 1 after 230 steps. The first transition is 4080106; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2040053

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,280,378

Proper Divisor Sum 6,120,166

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8160211 ← → #8160227

Radix Representation

Decimal	8160212
Binary	11111001000001111010100 (23 bits)
Octal	0o37101724
Hexadecimal	0x7C83D4

Divisor Catalog (6)

1 2 4 2,040,053 4,080,106 8,160,212

Collatz Trajectory (230 steps to reach 1)

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

8,160,212 4,080,106 2,040,053 6,120,160 3,060,080 1,530,040 765,020 382,510 191,255 573,766 286,883 860,650 430,325 1,290,976 645,488 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772

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