542,502

2 × 3² × 30139

542,502 factors as 2 × 3^2 × 30139. Its 12 positive divisors give a proper-divisor sum of 632,958, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 30139

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,175,460

Proper Divisor Sum 632,958

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #542497 ← → #542519

Radix Representation

Decimal	542502
Binary	10000100011100100110 (20 bits)
Octal	0o2043446
Hexadecimal	0x84726

Divisor Catalog (12)

1 2 3 6 9 18 30,139 60,278 90,417 180,834 271,251 542,502

Collatz Trajectory (63 steps to reach 1)

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

542,502 271,251 813,754 406,877 1,220,632 610,316 305,158 152,579 457,738 228,869 686,608 343,304 171,652 85,826 42,913 128,740 64,370 32,185 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16

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