2,415,834

2 × 3² × 134213

Starting at 2,415,834, the Collatz iteration reaches 1 after 117 steps. The first transition is 1207917; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 134213

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,234,346

Proper Divisor Sum 2,818,512

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2415779 ← → #2415839

Radix Representation

Decimal	2415834
Binary	1001001101110011011010 (22 bits)
Octal	0o11156332
Hexadecimal	0x24DCDA

Divisor Catalog (12)

1 2 3 6 9 18 134,213 268,426 402,639 805,278 1,207,917 2,415,834

Collatz Trajectory (117 steps to reach 1)

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

2,415,834 1,207,917 3,623,752 1,811,876 905,938 452,969 1,358,908 679,454 339,727 1,019,182 509,591 1,528,774 764,387 2,293,162 1,146,581 3,439,744 1,719,872 859,936 429,968 214,984 107,492 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555

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