9,928,672

2⁵ × 13 × 29 × 823

9,928,672 is even and not a perfect square. Its factorization is 2^5 × 13 × 29 × 823 and its 48 divisors sum to 21,803,040.

Prime Factor Structure

Factorization String 2^5 × 13 × 29 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,803,040

Proper Divisor Sum 11,874,368

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9928669 ← → #9928679

Radix Representation

Decimal	9928672
Binary	100101110111111111100000 (24 bits)
Octal	0o45677740
Hexadecimal	0x977FE0

Divisor Catalog (48)

1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 823 928 1,508 1,646 3,016 3,292 6,032 6,584 10,699 12,064 13,168 21,398 23,867 26,336 42,796 47,734 85,592 95,468 171,184 190,936 310,271 342,368 381,872 620,542 763,744 1,241,084 2,482,168 4,964,336 9,928,672

Collatz Trajectory (375 steps to reach 1)

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

9,928,672 4,964,336 2,482,168 1,241,084 620,542 310,271 930,814 465,407 1,396,222 698,111 2,094,334 1,047,167 3,141,502 1,570,751 4,712,254 2,356,127 7,068,382 3,534,191 10,602,574 5,301,287 15,903,862 7,951,931 23,855,794 11,927,897 35,783,692 17,891,846 8,945,923 26,837,770 13,418,885 40,256,656 20,128,328 10,064,164 5,032,082 2,516,041 7,548,124 3,774,062 1,887,031 5,661,094 2,830,547 8,491,642 4,245,821 12,737,464 6,368,732 3,184,366 1,592,183 4,776,550 2,388,275 7,164,826 3,582,413 10,747,240 5,373,620 2,686,810 1,343,405 4,030,216 2,015,108 1,007,554 503,777 1,511,332 755,666 377,833

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