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Atlas › Integer Profiles › Node 27,636,032

27,636,032

26 × 19 × 22727
Abundant Even Composite

27,636,032 factors as 2^6 × 19 × 22727. Its 28 positive divisors give a proper-divisor sum of 30,093,088, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 22727
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 57,729,120
Proper Divisor Sum 30,093,088
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #27636031 ← → #27636061

Radix Representation

Decimal 27636032
Binary 1101001011011000101000000 (25 bits)
Octal 0o151330500
Hexadecimal 0x1A5B140

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 22,727 45,454 90,908 181,816 363,632 431,813 727,264 863,626 1,454,528 1,727,252 3,454,504 6,909,008 13,818,016 27,636,032

Collatz Trajectory (87 steps to reach 1)

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

27,636,032 13,818,016 6,909,008 3,454,504 1,727,252 863,626 431,813 1,295,440 647,720 323,860 161,930 80,965 242,896 121,448 60,724 30,362 15,181 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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