524,607

3 × 23 × 7603

524,607 factors as 3 × 23 × 7603. Its 8 positive divisors give a proper-divisor sum of 205,377, so this integer is deficient. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 3 × 23 × 7603

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 729,984

Proper Divisor Sum 205,377

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #524599 ← → #524633

Radix Representation

Decimal	524607
Binary	10000000000100111111 (20 bits)
Octal	0o2000477
Hexadecimal	0x8013F

Divisor Catalog (8)

1 3 23 69 7,603 22,809 174,869 524,607

Collatz Trajectory (301 steps to reach 1)

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

524,607 1,573,822 786,911 2,360,734 1,180,367 3,541,102 1,770,551 5,311,654 2,655,827 7,967,482 3,983,741 11,951,224 5,975,612 2,987,806 1,493,903 4,481,710 2,240,855 6,722,566 3,361,283 10,083,850 5,041,925 15,125,776 7,562,888 3,781,444 1,890,722 945,361 2,836,084 1,418,042 709,021 2,127,064 1,063,532 531,766 265,883 797,650 398,825 1,196,476 598,238 299,119 897,358 448,679 1,346,038 673,019 2,019,058 1,009,529 3,028,588 1,514,294 757,147 2,271,442 1,135,721 3,407,164 1,703,582 851,791 2,555,374 1,277,687 3,833,062 1,916,531 5,749,594 2,874,797 8,624,392 4,312,196

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