507,638

2 × 253819

507,638 factors as 2 × 253819. Its 4 positive divisors give a proper-divisor sum of 253,822, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2 × 253819

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 761,460

Proper Divisor Sum 253,822

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #507631 ← → #507641

Radix Representation

Decimal	507638
Binary	1111011111011110110 (19 bits)
Octal	0o1737366
Hexadecimal	0x7BEF6

Divisor Catalog (4)

1 2 253,819 507,638

Collatz Trajectory (133 steps to reach 1)

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

507,638 253,819 761,458 380,729 1,142,188 571,094 285,547 856,642 428,321 1,284,964 642,482 321,241 963,724 481,862 240,931 722,794 361,397 1,084,192 542,096 271,048 135,524 67,762 33,881 101,644 50,822 25,411 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330

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