λ
Ratio Atlas

725,619

3 × 241873
Deficient Odd Composite

725,619 factors as 3 × 241873. Its 4 positive divisors give a proper-divisor sum of 241,877, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 241873
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 967,496
Proper Divisor Sum 241,877
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #725603 ← → #725639

Radix Representation

Decimal 725619
Binary 10110001001001110011 (20 bits)
Octal 0o2611163
Hexadecimal 0xB1273

Divisor Catalog (4)

1 3 241,873 725,619

Collatz Trajectory (180 steps to reach 1)

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

725,619 2,176,858 1,088,429 3,265,288 1,632,644 816,322 408,161 1,224,484 612,242 306,121 918,364 459,182 229,591 688,774 344,387 1,033,162 516,581 1,549,744 774,872 387,436 193,718 96,859 290,578 145,289 435,868 217,934 108,967 326,902 163,451 490,354 245,177 735,532 367,766 183,883 551,650 275,825 827,476 413,738 206,869 620,608 310,304 155,152 77,576 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620

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