548,847

3² × 13 × 4691

Starting at 548,847, the Collatz iteration reaches 1 after 120 steps. The first transition is 1646542; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 4691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 853,944

Proper Divisor Sum 305,097

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #548843 ← → #548851

Radix Representation

Decimal	548847
Binary	10000101111111101111 (20 bits)
Octal	0o2057757
Hexadecimal	0x85FEF

Divisor Catalog (12)

1 3 9 13 39 117 4,691 14,073 42,219 60,983 182,949 548,847

Collatz Trajectory (120 steps to reach 1)

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

548,847 1,646,542 823,271 2,469,814 1,234,907 3,704,722 1,852,361 5,557,084 2,778,542 1,389,271 4,167,814 2,083,907 6,251,722 3,125,861 9,377,584 4,688,792 2,344,396 1,172,198 586,099 1,758,298 879,149 2,637,448 1,318,724 659,362 329,681 989,044 494,522 247,261 741,784 370,892 185,446 92,723 278,170 139,085 417,256 208,628 104,314 52,157 156,472 78,236 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327

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