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Atlas › Integer Profiles › Node 17,540,442

17,540,442

2 × 33 × 37 × 8779
Abundant Even Composite

17,540,442 factors as 2 × 3^3 × 37 × 8779. Its 32 positive divisors give a proper-divisor sum of 22,496,358, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 8779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,036,800
Proper Divisor Sum 22,496,358
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17540441 ← → #17540443

Radix Representation

Decimal 17540442
Binary 1000010111010010101011010 (25 bits)
Octal 0o102722532
Hexadecimal 0x10BA55A

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 8,779 17,558 26,337 52,674 79,011 158,022 237,033 324,823 474,066 649,646 974,469 1,948,938 2,923,407 5,846,814 8,770,221 17,540,442

Collatz Trajectory (94 steps to reach 1)

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

17,540,442 8,770,221 26,310,664 13,155,332 6,577,666 3,288,833 9,866,500 4,933,250 2,466,625 7,399,876 3,699,938 1,849,969 5,549,908 2,774,954 1,387,477 4,162,432 2,081,216 1,040,608 520,304 260,152 130,076 65,038 32,519 97,558 48,779 146,338 73,169 219,508 109,754 54,877 164,632 82,316 41,158 20,579 61,738 30,869 92,608 46,304 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094

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