λ
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Atlas › Integer Profiles › Node 53,288,032

53,288,032

25 × 7 × 233 × 1021
Abundant Even Composite

53,288,032 factors as 2^5 × 7 × 233 × 1021. Its 48 positive divisors give a proper-divisor sum of 67,242,560, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 233 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 120,530,592
Proper Divisor Sum 67,242,560
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #53288009 ← → #53288063

Radix Representation

Decimal 53288032
Binary 11001011010001110001100000 (26 bits)
Octal 0o313216140
Hexadecimal 0x32D1C60

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1,021 1,631 1,864 2,042 3,262 3,728 4,084 6,524 7,147 7,456 8,168 13,048 14,294 16,336 26,096 28,588 32,672 52,192 57,176 114,352 228,704 237,893 475,786 951,572 1,665,251 1,903,144 3,330,502 3,806,288 6,661,004 7,612,576 13,322,008 26,644,016 53,288,032

Collatz Trajectory (150 steps to reach 1)

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

53,288,032 26,644,016 13,322,008 6,661,004 3,330,502 1,665,251 4,995,754 2,497,877 7,493,632 3,746,816 1,873,408 936,704 468,352 234,176 117,088 58,544 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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