500,331

3 × 13 × 12829

500,331 has the prime decomposition 3 × 13 × 12829. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 12829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 718,480

Proper Divisor Sum 218,149

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #500321 ← → #500333

Radix Representation

Decimal	500331
Binary	1111010001001101011 (19 bits)
Octal	0o1721153
Hexadecimal	0x7A26B

Divisor Catalog (8)

1 3 13 39 12,829 38,487 166,777 500,331

Collatz Trajectory (151 steps to reach 1)

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

500,331 1,500,994 750,497 2,251,492 1,125,746 562,873 1,688,620 844,310 422,155 1,266,466 633,233 1,899,700 949,850 474,925 1,424,776 712,388 356,194 178,097 534,292 267,146 133,573 400,720 200,360 100,180 50,090 25,045 75,136 37,568 18,784 9,392 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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