9,832,240

2⁴ × 5 × 11 × 11173

For 9,832,240, the 40 positive divisors have a total of 24,940,368. Removing 9,832,240 leaves 15,108,128, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 11173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 24,940,368

Proper Divisor Sum 15,108,128

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9832237 ← → #9832267

Radix Representation

Decimal	9832240
Binary	100101100000011100110000 (24 bits)
Octal	0o45403460
Hexadecimal	0x960730

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11,173 22,346 44,692 55,865 89,384 111,730 122,903 178,768 223,460 245,806 446,920 491,612 614,515 893,840 983,224 1,229,030 1,966,448 2,458,060 4,916,120 9,832,240

Collatz Trajectory (145 steps to reach 1)

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

9,832,240 4,916,120 2,458,060 1,229,030 614,515 1,843,546 921,773 2,765,320 1,382,660 691,330 345,665 1,036,996 518,498 259,249 777,748 388,874 194,437 583,312 291,656 145,828 72,914 36,457 109,372 54,686 27,343 82,030 41,015 123,046 61,523 184,570 92,285 276,856 138,428 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369

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