563,890

2 × 5 × 17 × 31 × 107

For 563,890, the 32 positive divisors have a total of 1,119,744. Removing 563,890 leaves 555,854, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 31 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,119,744

Proper Divisor Sum 555,854

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #563887 ← → #563897

Radix Representation

Decimal	563890
Binary	10001001101010110010 (20 bits)
Octal	0o2115262
Hexadecimal	0x89AB2

Divisor Catalog (32)

1 2 5 10 17 31 34 62 85 107 155 170 214 310 527 535 1,054 1,070 1,819 2,635 3,317 3,638 5,270 6,634 9,095 16,585 18,190 33,170 56,389 112,778 281,945 563,890

Collatz Trajectory (84 steps to reach 1)

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

563,890 281,945 845,836 422,918 211,459 634,378 317,189 951,568 475,784 237,892 118,946 59,473 178,420 89,210 44,605 133,816 66,908 33,454 16,727 50,182 25,091 75,274 37,637 112,912 56,456 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101

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