9,753,725

5² × 23 × 16963

9,753,725 factors as 5^2 × 23 × 16963. Its 12 positive divisors give a proper-divisor sum of 2,867,491, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 5^2 × 23 × 16963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,621,216

Proper Divisor Sum 2,867,491

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9753721 ← → #9753739

Radix Representation

Decimal	9753725
Binary	100101001101010001111101 (24 bits)
Octal	0o45152175
Hexadecimal	0x94D47D

Divisor Catalog (12)

1 5 23 25 115 575 16,963 84,815 390,149 424,075 1,950,745 9,753,725

Collatz Trajectory (150 steps to reach 1)

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

9,753,725 29,261,176 14,630,588 7,315,294 3,657,647 10,972,942 5,486,471 16,459,414 8,229,707 24,689,122 12,344,561 37,033,684 18,516,842 9,258,421 27,775,264 13,887,632 6,943,816 3,471,908 1,735,954 867,977 2,603,932 1,301,966 650,983 1,952,950 976,475 2,929,426 1,464,713 4,394,140 2,197,070 1,098,535 3,295,606 1,647,803 4,943,410 2,471,705 7,415,116 3,707,558 1,853,779 5,561,338 2,780,669 8,342,008 4,171,004 2,085,502 1,042,751 3,128,254 1,564,127 4,692,382 2,346,191 7,038,574 3,519,287 10,557,862 5,278,931 15,836,794 7,918,397 23,755,192 11,877,596 5,938,798 2,969,399 8,908,198 4,454,099 13,362,298

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