λ
Sequence Observatory

2,034,324

22 × 32 × 56509
Abundant Even Composite

Starting at 2,034,324, the Collatz iteration reaches 1 after 228 steps. The first transition is 1017162; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 56509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,142,410
Proper Divisor Sum 3,108,086
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2034317 ← → #2034337

Radix Representation

Decimal 2034324
Binary 111110000101010010100 (21 bits)
Octal 0o7605224
Hexadecimal 0x1F0A94

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 56,509 113,018 169,527 226,036 339,054 508,581 678,108 1,017,162 2,034,324

Collatz Trajectory (228 steps to reach 1)

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

2,034,324 1,017,162 508,581 1,525,744 762,872 381,436 190,718 95,359 286,078 143,039 429,118 214,559 643,678 321,839 965,518 482,759 1,448,278 724,139 2,172,418 1,086,209 3,258,628 1,629,314 814,657 2,443,972 1,221,986 610,993 1,832,980 916,490 458,245 1,374,736 687,368 343,684 171,842 85,921 257,764 128,882 64,441 193,324 96,662 48,331 144,994 72,497 217,492 108,746 54,373 163,120 81,560 40,780 20,390 10,195 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905

More profiles

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