422,637

3 × 17 × 8287

For 422,637, the 8 positive divisors have a total of 596,736. Removing 422,637 leaves 174,099, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 8287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 596,736

Proper Divisor Sum 174,099

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #422627 ← → #422657

Radix Representation

Decimal	422637
Binary	1100111001011101101 (19 bits)
Octal	0o1471355
Hexadecimal	0x672ED

Divisor Catalog (8)

1 3 17 51 8,287 24,861 140,879 422,637

Collatz Trajectory (130 steps to reach 1)

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

422,637 1,267,912 633,956 316,978 158,489 475,468 237,734 118,867 356,602 178,301 534,904 267,452 133,726 66,863 200,590 100,295 300,886 150,443 451,330 225,665 676,996 338,498 169,249 507,748 253,874 126,937 380,812 190,406 95,203 285,610 142,805 428,416 214,208 107,104 53,552 26,776 13,388 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 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683

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