5,585,068

2² × 263 × 5309

Starting at 5,585,068, the Collatz iteration reaches 1 after 82 steps. The first transition is 2792534; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 263 × 5309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,812,880

Proper Divisor Sum 4,227,812

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5585059 ← → #5585071

Radix Representation

Decimal	5585068
Binary	10101010011100010101100 (23 bits)
Octal	0o25234254
Hexadecimal	0x5538AC

Divisor Catalog (12)

1 2 4 263 526 1,052 5,309 10,618 21,236 1,396,267 2,792,534 5,585,068

Collatz Trajectory (82 steps to reach 1)

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

5,585,068 2,792,534 1,396,267 4,188,802 2,094,401 6,283,204 3,141,602 1,570,801 4,712,404 2,356,202 1,178,101 3,534,304 1,767,152 883,576 441,788 220,894 110,447 331,342 165,671 497,014 248,507 745,522 372,761 1,118,284 559,142 279,571 838,714 419,357 1,258,072 629,036 314,518 157,259 471,778 235,889 707,668 353,834 176,917 530,752 265,376 132,688 66,344 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985

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