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Atlas › Integer Profiles › Node 5,822,656

5,822,656

26 × 7 × 41 × 317
Abundant Even Composite

5,822,656 factors as 2^6 × 7 × 41 × 317. Its 56 positive divisors give a proper-divisor sum of 7,747,040, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 41 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,569,696
Proper Divisor Sum 7,747,040
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5822627 ← → #5822669

Radix Representation

Decimal 5822656
Binary 10110001101100011000000 (23 bits)
Octal 0o26154300
Hexadecimal 0x58D8C0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 317 328 448 574 634 656 1,148 1,268 1,312 2,219 2,296 2,536 2,624 4,438 4,592 5,072 8,876 9,184 10,144 12,997 17,752 18,368 20,288 25,994 35,504 51,988 71,008 90,979 103,976 142,016 181,958 207,952 363,916 415,904 727,832 831,808 1,455,664 2,911,328 5,822,656

Collatz Trajectory (90 steps to reach 1)

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

5,822,656 2,911,328 1,455,664 727,832 363,916 181,958 90,979 272,938 136,469 409,408 204,704 102,352 51,176 25,588 12,794 6,397 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 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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