540,221

11 × 67 × 733

540,221 factors as 11 × 67 × 733. Its 8 positive divisors give a proper-divisor sum of 58,723, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 11 × 67 × 733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 598,944

Proper Divisor Sum 58,723

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #540217 ← → #540233

Radix Representation

Decimal	540221
Binary	10000011111000111101 (20 bits)
Octal	0o2037075
Hexadecimal	0x83E3D

Divisor Catalog (8)

1 11 67 733 737 8,063 49,111 540,221

Collatz Trajectory (115 steps to reach 1)

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

540,221 1,620,664 810,332 405,166 202,583 607,750 303,875 911,626 455,813 1,367,440 683,720 341,860 170,930 85,465 256,396 128,198 64,099 192,298 96,149 288,448 144,224 72,112 36,056 18,028 9,014 4,507 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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