542,006

2 × 271003

Starting at 542,006, the Collatz iteration reaches 1 after 270 steps. The first transition is 271003; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 271003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 813,012

Proper Divisor Sum 271,006

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #541999 ← → #542021

Radix Representation

Decimal	542006
Binary	10000100010100110110 (20 bits)
Octal	0o2042466
Hexadecimal	0x84536

Divisor Catalog (4)

1 2 271,003 542,006

Collatz Trajectory (270 steps to reach 1)

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

542,006 271,003 813,010 406,505 1,219,516 609,758 304,879 914,638 457,319 1,371,958 685,979 2,057,938 1,028,969 3,086,908 1,543,454 771,727 2,315,182 1,157,591 3,472,774 1,736,387 5,209,162 2,604,581 7,813,744 3,906,872 1,953,436 976,718 488,359 1,465,078 732,539 2,197,618 1,098,809 3,296,428 1,648,214 824,107 2,472,322 1,236,161 3,708,484 1,854,242 927,121 2,781,364 1,390,682 695,341 2,086,024 1,043,012 521,506 260,753 782,260 391,130 195,565 586,696 293,348 146,674 73,337 220,012 110,006 55,003 165,010 82,505 247,516 123,758

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