542,007

3² × 60223

542,007 factors as 3^2 × 60223. Its 6 positive divisors give a proper-divisor sum of 240,905, so this integer is deficient. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 3^2 × 60223

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 782,912

Proper Divisor Sum 240,905

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #541999 ← → #542021

Radix Representation

Decimal	542007
Binary	10000100010100110111 (20 bits)
Octal	0o2042467
Hexadecimal	0x84537

Divisor Catalog (6)

1 3 9 60,223 180,669 542,007

Collatz Trajectory (270 steps to reach 1)

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

542,007 1,626,022 813,011 2,439,034 1,219,517 3,658,552 1,829,276 914,638 457,319 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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