8,232,024

2³ × 3 × 71 × 4831

8,232,024 is even and not a perfect square. Its factorization is 2^3 × 3 × 71 × 4831 and its 32 divisors sum to 20,874,240.

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 4831

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,874,240

Proper Divisor Sum 12,642,216

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8232017 ← → #8232041

Radix Representation

Decimal	8232024
Binary	11111011001110001011000 (23 bits)
Octal	0o37316130
Hexadecimal	0x7D9C58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1,704 4,831 9,662 14,493 19,324 28,986 38,648 57,972 115,944 343,001 686,002 1,029,003 1,372,004 2,058,006 2,744,008 4,116,012 8,232,024

Collatz Trajectory (137 steps to reach 1)

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

8,232,024 4,116,012 2,058,006 1,029,003 3,087,010 1,543,505 4,630,516 2,315,258 1,157,629 3,472,888 1,736,444 868,222 434,111 1,302,334 651,167 1,953,502 976,751 2,930,254 1,465,127 4,395,382 2,197,691 6,593,074 3,296,537 9,889,612 4,944,806 2,472,403 7,417,210 3,708,605 11,125,816 5,562,908 2,781,454 1,390,727 4,172,182 2,086,091 6,258,274 3,129,137 9,387,412 4,693,706 2,346,853 7,040,560 3,520,280 1,760,140 880,070 440,035 1,320,106 660,053 1,980,160 990,080 495,040 247,520 123,760 61,880 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216

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