9,997,717

17 × 31 × 61 × 311

9,997,717 has digital root 4. The neighboring primes are 9997711 and 9997739; its proper-divisor sum differs from the starting integer by -8,853,290.

Prime Factor Structure

Factorization String 17 × 31 × 61 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,142,144

Proper Divisor Sum 1,144,427

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #9997711 ← → #9997739

Radix Representation

Decimal	9997717
Binary	100110001000110110010101 (24 bits)
Octal	0o46106625
Hexadecimal	0x988D95

Divisor Catalog (16)

1 17 31 61 311 527 1,037 1,891 5,287 9,641 18,971 32,147 163,897 322,507 588,101 9,997,717

Collatz Trajectory (70 steps to reach 1)

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

9,997,717 29,993,152 14,996,576 7,498,288 3,749,144 1,874,572 937,286 468,643 1,405,930 702,965 2,108,896 1,054,448 527,224 263,612 131,806 65,903 197,710 98,855 296,566 148,283 444,850 222,425 667,276 333,638 166,819 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52

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