λ
Sequence Observatory

2,509,194

2 × 3 × 418199
Abundant Even Composite

Starting at 2,509,194, the Collatz iteration reaches 1 after 174 steps. The first transition is 1254597; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 418199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,018,400
Proper Divisor Sum 2,509,206
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2509181 ← → #2509207

Radix Representation

Decimal 2509194
Binary 1001100100100110001010 (22 bits)
Octal 0o11444612
Hexadecimal 0x26498A

Divisor Catalog (8)

1 2 3 6 418,199 836,398 1,254,597 2,509,194

Collatz Trajectory (174 steps to reach 1)

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

2,509,194 1,254,597 3,763,792 1,881,896 940,948 470,474 235,237 705,712 352,856 176,428 88,214 44,107 132,322 66,161 198,484 99,242 49,621 148,864 74,432 37,216 18,608 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

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