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Atlas › Integer Profiles › Node 3,758,768

3,758,768

24 × 13 × 17 × 1063
Abundant Even Composite

3,758,768 factors as 2^4 × 13 × 17 × 1063. Its 40 positive divisors give a proper-divisor sum of 4,553,200, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,311,968
Proper Divisor Sum 4,553,200
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3758761 ← → #3758791

Radix Representation

Decimal 3758768
Binary 1110010101101010110000 (22 bits)
Octal 0o16255260
Hexadecimal 0x395AB0

Divisor Catalog (40)

1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1,063 1,768 2,126 3,536 4,252 8,504 13,819 17,008 18,071 27,638 36,142 55,276 72,284 110,552 144,568 221,104 234,923 289,136 469,846 939,692 1,879,384 3,758,768

Collatz Trajectory (172 steps to reach 1)

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

3,758,768 1,879,384 939,692 469,846 234,923 704,770 352,385 1,057,156 528,578 264,289 792,868 396,434 198,217 594,652 297,326 148,663 445,990 222,995 668,986 334,493 1,003,480 501,740 250,870 125,435 376,306 188,153 564,460 282,230 141,115 423,346 211,673 635,020 317,510 158,755 476,266 238,133 714,400 357,200 178,600 89,300 44,650 22,325 66,976 33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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