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Atlas › Integer Profiles › Node 32,632,012

32,632,012

22 × 7 × 43 × 27103
Abundant Even Composite

32,632,012 factors as 2^2 × 7 × 43 × 27103. Its 24 positive divisors give a proper-divisor sum of 34,152,244, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 27103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,784,256
Proper Divisor Sum 34,152,244
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32631997 ← → #32632013

Radix Representation

Decimal 32632012
Binary 1111100011110110011001100 (25 bits)
Octal 0o174366314
Hexadecimal 0x1F1ECCC

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 602 1,204 27,103 54,206 108,412 189,721 379,442 758,884 1,165,429 2,330,858 4,661,716 8,158,003 16,316,006 32,632,012

Collatz Trajectory (201 steps to reach 1)

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

32,632,012 16,316,006 8,158,003 24,474,010 12,237,005 36,711,016 18,355,508 9,177,754 4,588,877 13,766,632 6,883,316 3,441,658 1,720,829 5,162,488 2,581,244 1,290,622 645,311 1,935,934 967,967 2,903,902 1,451,951 4,355,854 2,177,927 6,533,782 3,266,891 9,800,674 4,900,337 14,701,012 7,350,506 3,675,253 11,025,760 5,512,880 2,756,440 1,378,220 689,110 344,555 1,033,666 516,833 1,550,500 775,250 387,625 1,162,876 581,438 290,719 872,158 436,079 1,308,238 654,119 1,962,358 981,179 2,943,538 1,471,769 4,415,308 2,207,654 1,103,827 3,311,482 1,655,741 4,967,224 2,483,612 1,241,806

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