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Atlas › Integer Profiles › Node 5,832,040

5,832,040

23 × 5 × 211 × 691
Abundant Even Composite

5,832,040 factors as 2^3 × 5 × 211 × 691. Its 32 positive divisors give a proper-divisor sum of 7,371,320, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 211 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,203,360
Proper Divisor Sum 7,371,320
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5832019 ← → #5832049

Radix Representation

Decimal 5832040
Binary 10110001111110101101000 (23 bits)
Octal 0o26176550
Hexadecimal 0x58FD68

Divisor Catalog (32)

1 2 4 5 8 10 20 40 211 422 691 844 1,055 1,382 1,688 2,110 2,764 3,455 4,220 5,528 6,910 8,440 13,820 27,640 145,801 291,602 583,204 729,005 1,166,408 1,458,010 2,916,020 5,832,040

Collatz Trajectory (183 steps to reach 1)

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

5,832,040 2,916,020 1,458,010 729,005 2,187,016 1,093,508 546,754 273,377 820,132 410,066 205,033 615,100 307,550 153,775 461,326 230,663 691,990 345,995 1,037,986 518,993 1,556,980 778,490 389,245 1,167,736 583,868 291,934 145,967 437,902 218,951 656,854 328,427 985,282 492,641 1,477,924 738,962 369,481 1,108,444 554,222 277,111 831,334 415,667 1,247,002 623,501 1,870,504 935,252 467,626 233,813 701,440 350,720 175,360 87,680 43,840 21,920 10,960 5,480 2,740 1,370 685 2,056 1,028

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