λ
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501,550

2 × 52 × 7 × 1433
Abundant Even Composite

501,550 factors as 2 × 5^2 × 7 × 1433. Its 24 positive divisors give a proper-divisor sum of 565,346, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,066,896
Proper Divisor Sum 565,346
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #501511 ← → #501563

Radix Representation

Decimal 501550
Binary 1111010011100101110 (19 bits)
Octal 0o1723456
Hexadecimal 0x7A72E

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 1,433 2,866 7,165 10,031 14,330 20,062 35,825 50,155 71,650 100,310 250,775 501,550

Collatz Trajectory (63 steps to reach 1)

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

501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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