9,335,725

5² × 7² × 7621

9,335,725 has digital root 7. The neighboring primes are 9335699 and 9335759; its proper-divisor sum differs from the starting integer by -5,203,376.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 7621

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,468,074

Proper Divisor Sum 4,132,349

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9335699 ← → #9335759

Radix Representation

Decimal	9335725
Binary	100011100111001110101101 (24 bits)
Octal	0o43471655
Hexadecimal	0x8E73AD

Divisor Catalog (18)

1 5 7 25 35 49 175 245 1,225 7,621 38,105 53,347 190,525 266,735 373,429 1,333,675 1,867,145 9,335,725

Collatz Trajectory (181 steps to reach 1)

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

9,335,725 28,007,176 14,003,588 7,001,794 3,500,897 10,502,692 5,251,346 2,625,673 7,877,020 3,938,510 1,969,255 5,907,766 2,953,883 8,861,650 4,430,825 13,292,476 6,646,238 3,323,119 9,969,358 4,984,679 14,954,038 7,477,019 22,431,058 11,215,529 33,646,588 16,823,294 8,411,647 25,234,942 12,617,471 37,852,414 18,926,207 56,778,622 28,389,311 85,167,934 42,583,967 127,751,902 63,875,951 191,627,854 95,813,927 287,441,782 143,720,891 431,162,674 215,581,337 646,744,012 323,372,006 161,686,003 485,058,010 242,529,005 727,587,016 363,793,508 181,896,754 90,948,377 272,845,132 136,422,566 68,211,283 204,633,850 102,316,925 306,950,776 153,475,388 76,737,694

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