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Sigma Notebook

500,509

500509
Deficient Odd Prime

500,509 is odd and not a perfect square. Its factorization is 500509 and its 2 divisors sum to 500,510.

Prime Factor Structure

Factorization String 500509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 500,510
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #500501 ← → #500519

Radix Representation

Decimal 500509
Binary 1111010001100011101 (19 bits)
Octal 0o1721435
Hexadecimal 0x7A31D

Divisor Catalog (2)

Collatz Trajectory (89 steps to reach 1)

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

500,509 1,501,528 750,764 375,382 187,691 563,074 281,537 844,612 422,306 211,153 633,460 316,730 158,365 475,096 237,548 118,774 59,387 178,162 89,081 267,244 133,622 66,811 200,434 100,217 300,652 150,326 75,163 225,490 112,745 338,236 169,118 84,559 253,678 126,839 380,518 190,259 570,778 285,389 856,168 428,084 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176

More profiles

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