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Atlas › Integer Profiles › Node 5,823,944

5,823,944

23 × 72 × 83 × 179
Abundant Even Composite

5,823,944 factors as 2^3 × 7^2 × 83 × 179. Its 48 positive divisors give a proper-divisor sum of 7,103,656, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 83 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,927,600
Proper Divisor Sum 7,103,656
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5823943 ← → #5823947

Radix Representation

Decimal 5823944
Binary 10110001101110111001000 (23 bits)
Octal 0o26156710
Hexadecimal 0x58DDC8

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 83 98 166 179 196 332 358 392 581 664 716 1,162 1,253 1,432 2,324 2,506 4,067 4,648 5,012 8,134 8,771 10,024 14,857 16,268 17,542 29,714 32,536 35,084 59,428 70,168 103,999 118,856 207,998 415,996 727,993 831,992 1,455,986 2,911,972 5,823,944

Collatz Trajectory (90 steps to reach 1)

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

5,823,944 2,911,972 1,455,986 727,993 2,183,980 1,091,990 545,995 1,637,986 818,993 2,456,980 1,228,490 614,245 1,842,736 921,368 460,684 230,342 115,171 345,514 172,757 518,272 259,136 129,568 64,784 32,392 16,196 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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