503,478

2 × 3² × 83 × 337

503,478 has the prime decomposition 2 × 3^2 × 83 × 337. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 83 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,107,288

Proper Divisor Sum 603,810

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #503453 ← → #503483

Radix Representation

Decimal	503478
Binary	1111010111010110110 (19 bits)
Octal	0o1727266
Hexadecimal	0x7AEB6

Divisor Catalog (24)

1 2 3 6 9 18 83 166 249 337 498 674 747 1,011 1,494 2,022 3,033 6,066 27,971 55,942 83,913 167,826 251,739 503,478

Collatz Trajectory (182 steps to reach 1)

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

503,478 251,739 755,218 377,609 1,132,828 566,414 283,207 849,622 424,811 1,274,434 637,217 1,911,652 955,826 477,913 1,433,740 716,870 358,435 1,075,306 537,653 1,612,960 806,480 403,240 201,620 100,810 50,405 151,216 75,608 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168

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