5,578,538

2 × 7 × 398467

Starting at 5,578,538, the Collatz iteration reaches 1 after 170 steps. The first transition is 2789269; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 398467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,563,232

Proper Divisor Sum 3,984,694

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5578523 ← → #5578549

Radix Representation

Decimal	5578538
Binary	10101010001111100101010 (23 bits)
Octal	0o25217452
Hexadecimal	0x551F2A

Divisor Catalog (8)

1 2 7 14 398,467 796,934 2,789,269 5,578,538

Collatz Trajectory (170 steps to reach 1)

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

5,578,538 2,789,269 8,367,808 4,183,904 2,091,952 1,045,976 522,988 261,494 130,747 392,242 196,121 588,364 294,182 147,091 441,274 220,637 661,912 330,956 165,478 82,739 248,218 124,109 372,328 186,164 93,082 46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166

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