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Atlas › Integer Profiles › Node 26,742,352

26,742,352

24 × 7 × 13 × 18367
Abundant Even Composite

26,742,352 factors as 2^4 × 7 × 13 × 18367. Its 40 positive divisors give a proper-divisor sum of 37,031,344, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 18367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 63,773,696
Proper Divisor Sum 37,031,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26742347 ← → #26742473

Radix Representation

Decimal 26742352
Binary 1100110000000111001010000 (25 bits)
Octal 0o146007120
Hexadecimal 0x1980E50

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 18,367 36,734 73,468 128,569 146,936 238,771 257,138 293,872 477,542 514,276 955,084 1,028,552 1,671,397 1,910,168 2,057,104 3,342,794 3,820,336 6,685,588 13,371,176 26,742,352

Collatz Trajectory (180 steps to reach 1)

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

26,742,352 13,371,176 6,685,588 3,342,794 1,671,397 5,014,192 2,507,096 1,253,548 626,774 313,387 940,162 470,081 1,410,244 705,122 352,561 1,057,684 528,842 264,421 793,264 396,632 198,316 99,158 49,579 148,738 74,369 223,108 111,554 55,777 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712

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