25,684,450

2 × 5² × 11 × 17 × 41 × 67

25,684,450 factors as 2 × 5^2 × 11 × 17 × 41 × 67. Its 96 positive divisors give a proper-divisor sum of 31,686,878, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 17 × 41 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 57,371,328

Proper Divisor Sum 31,686,878

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25684441 ← → #25684453

Radix Representation

Decimal	25684450
Binary	1100001111110100111100010 (25 bits)
Octal	0o141764742
Hexadecimal	0x187E9E2

Divisor Catalog (60 of 96)

1 2 5 10 11 17 22 25 34 41 50 55 67 82 85 110 134 170 187 205 275 335 374 410 425 451 550 670 697 737 850 902 935 1,025 1,139 1,394 1,474 1,675 1,870 2,050 2,255 2,278 2,747 3,350 3,485 3,685 4,510 4,675 5,494 5,695 6,970 7,370 7,667 9,350 11,275 11,390 12,529 13,735 15,334 17,425

Collatz Trajectory (97 steps to reach 1)

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

25,684,450 12,842,225 38,526,676 19,263,338 9,631,669 28,895,008 14,447,504 7,223,752 3,611,876 1,805,938 902,969 2,708,908 1,354,454 677,227 2,031,682 1,015,841 3,047,524 1,523,762 761,881 2,285,644 1,142,822 571,411 1,714,234 857,117 2,571,352 1,285,676 642,838 321,419 964,258 482,129 1,446,388 723,194 361,597 1,084,792 542,396 271,198 135,599 406,798 203,399 610,198 305,099 915,298 457,649 1,372,948 686,474 343,237 1,029,712 514,856 257,428 128,714 64,357 193,072 96,536 48,268 24,134 12,067 36,202 18,101 54,304 27,152

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