λ
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4,400,450

2 × 52 × 17 × 31 × 167
Abundant Even Composite

4,400,450 factors as 2 × 5^2 × 17 × 31 × 167. Its 48 positive divisors give a proper-divisor sum of 4,598,974, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 31 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,999,424
Proper Divisor Sum 4,598,974
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4400443 ← → #4400477

Radix Representation

Decimal 4400450
Binary 10000110010010101000010 (23 bits)
Octal 0o20622502
Hexadecimal 0x432542

Divisor Catalog (48)

1 2 5 10 17 25 31 34 50 62 85 155 167 170 310 334 425 527 775 835 850 1,054 1,550 1,670 2,635 2,839 4,175 5,177 5,270 5,678 8,350 10,354 13,175 14,195 25,885 26,350 28,390 51,770 70,975 88,009 129,425 141,950 176,018 258,850 440,045 880,090 2,200,225 4,400,450

Collatz Trajectory (92 steps to reach 1)

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

4,400,450 2,200,225 6,600,676 3,300,338 1,650,169 4,950,508 2,475,254 1,237,627 3,712,882 1,856,441 5,569,324 2,784,662 1,392,331 4,176,994 2,088,497 6,265,492 3,132,746 1,566,373 4,699,120 2,349,560 1,174,780 587,390 293,695 881,086 440,543 1,321,630 660,815 1,982,446 991,223 2,973,670 1,486,835 4,460,506 2,230,253 6,690,760 3,345,380 1,672,690 836,345 2,509,036 1,254,518 627,259 1,881,778 940,889 2,822,668 1,411,334 705,667 2,117,002 1,058,501 3,175,504 1,587,752 793,876 396,938 198,469 595,408 297,704 148,852 74,426 37,213 111,640 55,820 27,910

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