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Atlas › Integer Profiles › Node 27,763,596

27,763,596

22 × 32 × 72 × 15739
Abundant Even Composite

27,763,596 factors as 2^2 × 3^2 × 7^2 × 15739. Its 54 positive divisors give a proper-divisor sum of 53,879,784, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 15739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 81,643,380
Proper Divisor Sum 53,879,784
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #27763577 ← → #27763607

Radix Representation

Decimal 27763596
Binary 1101001111010001110001100 (25 bits)
Octal 0o151721614
Hexadecimal 0x1A7A38C

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 15,739 31,478 47,217 62,956 94,434 110,173 141,651 188,868 220,346 283,302 330,519 440,692 566,604 661,038 771,211 991,557 1,322,076 1,542,422 1,983,114 2,313,633 3,084,844 3,966,228 4,627,266 6,940,899 9,254,532 13,881,798 27,763,596

Collatz Trajectory (100 steps to reach 1)

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

27,763,596 13,881,798 6,940,899 20,822,698 10,411,349 31,234,048 15,617,024 7,808,512 3,904,256 1,952,128 976,064 488,032 244,016 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818

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