λ
Sequence Observatory

5,582,028

22 × 3 × 465169
Abundant Even Composite

Starting at 5,582,028, the Collatz iteration reaches 1 after 170 steps. The first transition is 2791014; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 465169
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,024,760
Proper Divisor Sum 7,442,732
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5582023 ← → #5582033

Radix Representation

Decimal 5582028
Binary 10101010010110011001100 (23 bits)
Octal 0o25226314
Hexadecimal 0x552CCC

Divisor Catalog (12)

1 2 3 4 6 12 465,169 930,338 1,395,507 1,860,676 2,791,014 5,582,028

Collatz Trajectory (170 steps to reach 1)

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

5,582,028 2,791,014 1,395,507 4,186,522 2,093,261 6,279,784 3,139,892 1,569,946 784,973 2,354,920 1,177,460 588,730 294,365 883,096 441,548 220,774 110,387 331,162 165,581 496,744 248,372 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

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