2,871,412

2² × 23³ × 59

Starting at 2,871,412, the Collatz iteration reaches 1 after 213 steps. The first transition is 1435706; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23^3 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,342,400

Proper Divisor Sum 2,470,988

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2871409 ← → #2871433

Radix Representation

Decimal	2871412
Binary	1010111101000001110100 (22 bits)
Octal	0o12750164
Hexadecimal	0x2BD074

Divisor Catalog (24)

1 2 4 23 46 59 92 118 236 529 1,058 1,357 2,116 2,714 5,428 12,167 24,334 31,211 48,668 62,422 124,844 717,853 1,435,706 2,871,412

Collatz Trajectory (213 steps to reach 1)

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

2,871,412 1,435,706 717,853 2,153,560 1,076,780 538,390 269,195 807,586 403,793 1,211,380 605,690 302,845 908,536 454,268 227,134 113,567 340,702 170,351 511,054 255,527 766,582 383,291 1,149,874 574,937 1,724,812 862,406 431,203 1,293,610 646,805 1,940,416 970,208 485,104 242,552 121,276 60,638 30,319 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214

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