533,830

2 × 5 × 11 × 23 × 211

533,830 factors as 2 × 5 × 11 × 23 × 211. Its 32 positive divisors give a proper-divisor sum of 565,178, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 23 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,099,008

Proper Divisor Sum 565,178

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #533821 ← → #533831

Radix Representation

Decimal	533830
Binary	10000010010101000110 (20 bits)
Octal	0o2022506
Hexadecimal	0x82546

Divisor Catalog (32)

Collatz Trajectory (94 steps to reach 1)

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

533,830 266,915 800,746 400,373 1,201,120 600,560 300,280 150,140 75,070 37,535 112,606 56,303 168,910 84,455 253,366 126,683 380,050 190,025 570,076 285,038 142,519 427,558 213,779 641,338 320,669 962,008 481,004 240,502 120,251 360,754 180,377 541,132 270,566 135,283 405,850 202,925 608,776 304,388 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388

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