7,727,125

5³ × 7 × 8831

For 7,727,125, the 16 positive divisors have a total of 11,022,336. Removing 7,727,125 leaves 3,295,211, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 7 × 8831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,022,336

Proper Divisor Sum 3,295,211

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7727113 ← → #7727131

Radix Representation

Decimal	7727125
Binary	11101011110100000010101 (23 bits)
Octal	0o35364025
Hexadecimal	0x75E815

Divisor Catalog (16)

1 5 7 25 35 125 175 875 8,831 44,155 61,817 220,775 309,085 1,103,875 1,545,425 7,727,125

Collatz Trajectory (124 steps to reach 1)

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

7,727,125 23,181,376 11,590,688 5,795,344 2,897,672 1,448,836 724,418 362,209 1,086,628 543,314 271,657 814,972 407,486 203,743 611,230 305,615 916,846 458,423 1,375,270 687,635 2,062,906 1,031,453 3,094,360 1,547,180 773,590 386,795 1,160,386 580,193 1,740,580 870,290 435,145 1,305,436 652,718 326,359 979,078 489,539 1,468,618 734,309 2,202,928 1,101,464 550,732 275,366 137,683 413,050 206,525 619,576 309,788 154,894 77,447 232,342 116,171 348,514 174,257 522,772 261,386 130,693 392,080 196,040 98,020 49,010

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