548,509

13 × 42193

Starting at 548,509, the Collatz iteration reaches 1 after 146 steps. The first transition is 1645528; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 42193

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 590,716

Proper Divisor Sum 42,207

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #548503 ← → #548519

Radix Representation

Decimal	548509
Binary	10000101111010011101 (20 bits)
Octal	0o2057235
Hexadecimal	0x85E9D

Divisor Catalog (4)

1 13 42,193 548,509

Collatz Trajectory (146 steps to reach 1)

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

548,509 1,645,528 822,764 411,382 205,691 617,074 308,537 925,612 462,806 231,403 694,210 347,105 1,041,316 520,658 260,329 780,988 390,494 195,247 585,742 292,871 878,614 439,307 1,317,922 658,961 1,976,884 988,442 494,221 1,482,664 741,332 370,666 185,333 556,000 278,000 139,000 69,500 34,750 17,375 52,126 26,063 78,190 39,095 117,286 58,643 175,930 87,965 263,896 131,948 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252

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