9,997,748

2² × 31 × 80627

For 9,997,748, the 12 positive divisors have a total of 18,060,672. Removing 9,997,748 leaves 8,062,924, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 31 × 80627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,060,672

Proper Divisor Sum 8,062,924

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #9997747 ← → #9997753

Radix Representation

Decimal	9997748
Binary	100110001000110110110100 (24 bits)
Octal	0o46106664
Hexadecimal	0x988DB4

Divisor Catalog (12)

1 2 4 31 62 124 80,627 161,254 322,508 2,499,437 4,998,874 9,997,748

Collatz Trajectory (114 steps to reach 1)

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

9,997,748 4,998,874 2,499,437 7,498,312 3,749,156 1,874,578 937,289 2,811,868 1,405,934 702,967 2,108,902 1,054,451 3,163,354 1,581,677 4,745,032 2,372,516 1,186,258 593,129 1,779,388 889,694 444,847 1,334,542 667,271 2,001,814 1,000,907 3,002,722 1,501,361 4,504,084 2,252,042 1,126,021 3,378,064 1,689,032 844,516 422,258 211,129 633,388 316,694 158,347 475,042 237,521 712,564 356,282 178,141 534,424 267,212 133,606 66,803 200,410 100,205 300,616 150,308 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413

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