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Atlas › Integer Profiles › Node 32,044,232

32,044,232

23 × 11 × 449 × 811
Abundant Even Composite

32,044,232 factors as 2^3 × 11 × 449 × 811. Its 32 positive divisors give a proper-divisor sum of 33,727,768, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 449 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,772,000
Proper Divisor Sum 33,727,768
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #32044223 ← → #32044237

Radix Representation

Decimal 32044232
Binary 1111010001111010011001000 (25 bits)
Octal 0o172172310
Hexadecimal 0x1E8F4C8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 449 811 898 1,622 1,796 3,244 3,592 4,939 6,488 8,921 9,878 17,842 19,756 35,684 39,512 71,368 364,139 728,278 1,456,556 2,913,112 4,005,529 8,011,058 16,022,116 32,044,232

Collatz Trajectory (188 steps to reach 1)

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

32,044,232 16,022,116 8,011,058 4,005,529 12,016,588 6,008,294 3,004,147 9,012,442 4,506,221 13,518,664 6,759,332 3,379,666 1,689,833 5,069,500 2,534,750 1,267,375 3,802,126 1,901,063 5,703,190 2,851,595 8,554,786 4,277,393 12,832,180 6,416,090 3,208,045 9,624,136 4,812,068 2,406,034 1,203,017 3,609,052 1,804,526 902,263 2,706,790 1,353,395 4,060,186 2,030,093 6,090,280 3,045,140 1,522,570 761,285 2,283,856 1,141,928 570,964 285,482 142,741 428,224 214,112 107,056 53,528 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941

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