2,413,782

2 × 3² × 7 × 19157

Starting at 2,413,782, the Collatz iteration reaches 1 after 143 steps. The first transition is 1206891; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,977,296

Proper Divisor Sum 3,563,514

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2413777 ← → #2413783

Radix Representation

Decimal	2413782
Binary	1001001101010011010110 (22 bits)
Octal	0o11152326
Hexadecimal	0x24D4D6

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 19,157 38,314 57,471 114,942 134,099 172,413 268,198 344,826 402,297 804,594 1,206,891 2,413,782

Collatz Trajectory (143 steps to reach 1)

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

2,413,782 1,206,891 3,620,674 1,810,337 5,431,012 2,715,506 1,357,753 4,073,260 2,036,630 1,018,315 3,054,946 1,527,473 4,582,420 2,291,210 1,145,605 3,436,816 1,718,408 859,204 429,602 214,801 644,404 322,202 161,101 483,304 241,652 120,826 60,413 181,240 90,620 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196 387,098 193,549 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311

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