548,541

3² × 7 × 8707

Starting at 548,541, the Collatz iteration reaches 1 after 89 steps. The first transition is 1645624; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 8707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 905,632

Proper Divisor Sum 357,091

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #548533 ← → #548543

Radix Representation

Decimal	548541
Binary	10000101111010111101 (20 bits)
Octal	0o2057275
Hexadecimal	0x85EBD

Divisor Catalog (12)

1 3 7 9 21 63 8,707 26,121 60,949 78,363 182,847 548,541

Collatz Trajectory (89 steps to reach 1)

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

548,541 1,645,624 822,812 411,406 205,703 617,110 308,555 925,666 462,833 1,388,500 694,250 347,125 1,041,376 520,688 260,344 130,172 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482

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