9,733,725

3² × 5² × 43261

9,733,725 factors as 3^2 × 5^2 × 43261. Its 18 positive divisors give a proper-divisor sum of 7,700,861, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 43261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 17,434,586

Proper Divisor Sum 7,700,861

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9733699 ← → #9733729

Radix Representation

Decimal	9733725
Binary	100101001000011001011101 (24 bits)
Octal	0o45103135
Hexadecimal	0x94865D

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 43,261 129,783 216,305 389,349 648,915 1,081,525 1,946,745 3,244,575 9,733,725

Collatz Trajectory (145 steps to reach 1)

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

9,733,725 29,201,176 14,600,588 7,300,294 3,650,147 10,950,442 5,475,221 16,425,664 8,212,832 4,106,416 2,053,208 1,026,604 513,302 256,651 769,954 384,977 1,154,932 577,466 288,733 866,200 433,100 216,550 108,275 324,826 162,413 487,240 243,620 121,810 60,905 182,716 91,358 45,679 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739

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