25,257,476

2² × 41 × 337 × 457

25,257,476 factors as 2^2 × 41 × 337 × 457. Its 24 positive divisors give a proper-divisor sum of 20,254,900, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 337 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 45,512,376

Proper Divisor Sum 20,254,900

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #25257443 ← → #25257497

Radix Representation

Decimal	25257476
Binary	1100000010110011000000100 (25 bits)
Octal	0o140263004
Hexadecimal	0x1816604

Divisor Catalog (24)

Collatz Trajectory (92 steps to reach 1)

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

25,257,476 12,628,738 6,314,369 18,943,108 9,471,554 4,735,777 14,207,332 7,103,666 3,551,833 10,655,500 5,327,750 2,663,875 7,991,626 3,995,813 11,987,440 5,993,720 2,996,860 1,498,430 749,215 2,247,646 1,123,823 3,371,470 1,685,735 5,057,206 2,528,603 7,585,810 3,792,905 11,378,716 5,689,358 2,844,679 8,534,038 4,267,019 12,801,058 6,400,529 19,201,588 9,600,794 4,800,397 14,401,192 7,200,596 3,600,298 1,800,149 5,400,448 2,700,224 1,350,112 675,056 337,528 168,764 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198

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