524,104

2³ × 7³ × 191

524,104 factors as 2^3 × 7^3 × 191. Its 32 positive divisors give a proper-divisor sum of 627,896, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 191

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,152,000

Proper Divisor Sum 627,896

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #524099 ← → #524113

Radix Representation

Decimal	524104
Binary	1111111111101001000 (19 bits)
Octal	0o1777510
Hexadecimal	0x7FF48

Divisor Catalog (32)

1 2 4 7 8 14 28 49 56 98 191 196 343 382 392 686 764 1,337 1,372 1,528 2,674 2,744 5,348 9,359 10,696 18,718 37,436 65,513 74,872 131,026 262,052 524,104

Collatz Trajectory (133 steps to reach 1)

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

524,104 262,052 131,026 65,513 196,540 98,270 49,135 147,406 73,703 221,110 110,555 331,666 165,833 497,500 248,750 124,375 373,126 186,563 559,690 279,845 839,536 419,768 209,884 104,942 52,471 157,414 78,707 236,122 118,061 354,184 177,092 88,546 44,273 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326

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