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Atlas › Integer Profiles › Node 28,063,232

28,063,232

29 × 59 × 929
Abundant Even Composite

28,063,232 factors as 2^9 × 59 × 929. Its 40 positive divisors give a proper-divisor sum of 29,020,168, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^9 × 59 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 57,083,400
Proper Divisor Sum 29,020,168
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #28063207 ← → #28063237

Radix Representation

Decimal 28063232
Binary 1101011000011011000000000 (25 bits)
Octal 0o153033000
Hexadecimal 0x1AC3600

Divisor Catalog (40)

1 2 4 8 16 32 59 64 118 128 236 256 472 512 929 944 1,858 1,888 3,716 3,776 7,432 7,552 14,864 15,104 29,728 30,208 54,811 59,456 109,622 118,912 219,244 237,824 438,488 475,648 876,976 1,753,952 3,507,904 7,015,808 14,031,616 28,063,232

Collatz Trajectory (180 steps to reach 1)

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

28,063,232 14,031,616 7,015,808 3,507,904 1,753,952 876,976 438,488 219,244 109,622 54,811 164,434 82,217 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321 210,964 105,482 52,741 158,224 79,112 39,556 19,778 9,889 29,668

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