λ
Sequence Observatory

2,124,756

22 × 32 × 59021
Abundant Even Composite

Starting at 2,124,756, the Collatz iteration reaches 1 after 47 steps. The first transition is 1062378; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,371,002
Proper Divisor Sum 3,246,246
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2124679 ← → #2124757

Radix Representation

Decimal 2124756
Binary 1000000110101111010100 (22 bits)
Octal 0o10065724
Hexadecimal 0x206BD4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 59,021 118,042 177,063 236,084 354,126 531,189 708,252 1,062,378 2,124,756

Collatz Trajectory (47 steps to reach 1)

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

2,124,756 1,062,378 531,189 1,593,568 796,784 398,392 199,196 99,598 49,799 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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