2,080,212

2² × 3 × 23 × 7537

Starting at 2,080,212, the Collatz iteration reaches 1 after 104 steps. The first transition is 1040106; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 7537

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,065,536

Proper Divisor Sum 2,985,324

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2080207 ← → #2080213

Radix Representation

Decimal	2080212
Binary	111111011110111010100 (21 bits)
Octal	0o7736724
Hexadecimal	0x1FBDD4

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 7,537 15,074 22,611 30,148 45,222 90,444 173,351 346,702 520,053 693,404 1,040,106 2,080,212

Collatz Trajectory (104 steps to reach 1)

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

2,080,212 1,040,106 520,053 1,560,160 780,080 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367

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