4,725,025

5² × 331 × 571

4,725,025 factors as 5^2 × 331 × 571. Its 12 positive divisors give a proper-divisor sum of 1,161,999, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 5^2 × 331 × 571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,887,024

Proper Divisor Sum 1,161,999

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4725001 ← → #4725029

Radix Representation

Decimal	4725025
Binary	10010000001100100100001 (23 bits)
Octal	0o22014441
Hexadecimal	0x481921

Divisor Catalog (12)

1 5 25 331 571 1,655 2,855 8,275 14,275 189,001 945,005 4,725,025

Collatz Trajectory (224 steps to reach 1)

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

4,725,025 14,175,076 7,087,538 3,543,769 10,631,308 5,315,654 2,657,827 7,973,482 3,986,741 11,960,224 5,980,112 2,990,056 1,495,028 747,514 373,757 1,121,272 560,636 280,318 140,159 420,478 210,239 630,718 315,359 946,078 473,039 1,419,118 709,559 2,128,678 1,064,339 3,193,018 1,596,509 4,789,528 2,394,764 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813

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