λ
Sigma Notebook

500,397

3 × 166799
Deficient Odd Composite

500,397 is odd and not a perfect square. Its factorization is 3 × 166799 and its 4 divisors sum to 667,200.

Prime Factor Structure

Factorization String 3 × 166799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 667,200
Proper Divisor Sum 166,803
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #500393 ← → #500413

Radix Representation

Decimal 500397
Binary 1111010001010101101 (19 bits)
Octal 0o1721255
Hexadecimal 0x7A2AD

Divisor Catalog (4)

1 3 166,799 500,397

Collatz Trajectory (138 steps to reach 1)

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

500,397 1,501,192 750,596 375,298 187,649 562,948 281,474 140,737 422,212 211,106 105,553 316,660 158,330 79,165 237,496 118,748 59,374 29,687 89,062 44,531 133,594 66,797 200,392 100,196 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

More profiles

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