9,320,480

2⁵ × 5 × 13 × 4481

For 9,320,480, the 48 positive divisors have a total of 23,718,744. Removing 9,320,480 leaves 14,398,264, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 4481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,718,744

Proper Divisor Sum 14,398,264

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9320477 ← → #9320533

Radix Representation

Decimal	9320480
Binary	100011100011100000100000 (24 bits)
Octal	0o43434040
Hexadecimal	0x8E3820

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 4,481 8,962 17,924 22,405 35,848 44,810 58,253 71,696 89,620 116,506 143,392 179,240 233,012 291,265 358,480 466,024 582,530 716,960 932,048 1,165,060 1,864,096 2,330,120 4,660,240 9,320,480

Collatz Trajectory (300 steps to reach 1)

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

9,320,480 4,660,240 2,330,120 1,165,060 582,530 291,265 873,796 436,898 218,449 655,348 327,674 163,837 491,512 245,756 122,878 61,439 184,318 92,159 276,478 138,239 414,718 207,359 622,078 311,039 933,118 466,559 1,399,678 699,839 2,099,518 1,049,759 3,149,278 1,574,639 4,723,918 2,361,959 7,085,878 3,542,939 10,628,818 5,314,409 15,943,228 7,971,614 3,985,807 11,957,422 5,978,711 17,936,134 8,968,067 26,904,202 13,452,101 40,356,304 20,178,152 10,089,076 5,044,538 2,522,269 7,566,808 3,783,404 1,891,702 945,851 2,837,554 1,418,777 4,256,332 2,128,166

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