508,399

29 × 47 × 373

508,399 factors as 29 × 47 × 373. Its 8 positive divisors give a proper-divisor sum of 30,161, so this integer is deficient. The Collatz stopping time is 332 steps.

Prime Factor Structure

Factorization String 29 × 47 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 538,560

Proper Divisor Sum 30,161

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #508393 ← → #508433

Radix Representation

Decimal	508399
Binary	1111100000111101111 (19 bits)
Octal	0o1740757
Hexadecimal	0x7C1EF

Divisor Catalog (8)

1 29 47 373 1,363 10,817 17,531 508,399

Collatz Trajectory (332 steps to reach 1)

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

508,399 1,525,198 762,599 2,287,798 1,143,899 3,431,698 1,715,849 5,147,548 2,573,774 1,286,887 3,860,662 1,930,331 5,790,994 2,895,497 8,686,492 4,343,246 2,171,623 6,514,870 3,257,435 9,772,306 4,886,153 14,658,460 7,329,230 3,664,615 10,993,846 5,496,923 16,490,770 8,245,385 24,736,156 12,368,078 6,184,039 18,552,118 9,276,059 27,828,178 13,914,089 41,742,268 20,871,134 10,435,567 31,306,702 15,653,351 46,960,054 23,480,027 70,440,082 35,220,041 105,660,124 52,830,062 26,415,031 79,245,094 39,622,547 118,867,642 59,433,821 178,301,464 89,150,732 44,575,366 22,287,683 66,863,050 33,431,525 100,294,576 50,147,288 25,073,644

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