524,604

2² × 3 × 43717

524,604 factors as 2^2 × 3 × 43717. Its 12 positive divisors give a proper-divisor sum of 699,500, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 43717

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,224,104

Proper Divisor Sum 699,500

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #524599 ← → #524633

Radix Representation

Decimal	524604
Binary	10000000000100111100 (20 bits)
Octal	0o2000474
Hexadecimal	0x8013C

Divisor Catalog (12)

1 2 3 4 6 12 43,717 87,434 131,151 174,868 262,302 524,604

Collatz Trajectory (102 steps to reach 1)

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

524,604 262,302 131,151 393,454 196,727 590,182 295,091 885,274 442,637 1,327,912 663,956 331,978 165,989 497,968 248,984 124,492 62,246 31,123 93,370 46,685 140,056 70,028 35,014 17,507 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557

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