540,241

13 × 29 × 1433

540,241 factors as 13 × 29 × 1433. Its 8 positive divisors give a proper-divisor sum of 62,039, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 13 × 29 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 602,280

Proper Divisor Sum 62,039

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #540233 ← → #540251

Radix Representation

Decimal	540241
Binary	10000011111001010001 (20 bits)
Octal	0o2037121
Hexadecimal	0x83E51

Divisor Catalog (8)

1 13 29 377 1,433 18,629 41,557 540,241

Collatz Trajectory (115 steps to reach 1)

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

540,241 1,620,724 810,362 405,181 1,215,544 607,772 303,886 151,943 455,830 227,915 683,746 341,873 1,025,620 512,810 256,405 769,216 384,608 192,304 96,152 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573

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