9,997,162

2 × 7 × 241 × 2963

For 9,997,162, the 16 positive divisors have a total of 17,214,912. Removing 9,997,162 leaves 7,217,750, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 241 × 2963

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,214,912

Proper Divisor Sum 7,217,750

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9997133 ← → #9997177

Radix Representation

Decimal	9997162
Binary	100110001000101101101010 (24 bits)
Octal	0o46105552
Hexadecimal	0x988B6A

Divisor Catalog (16)

1 2 7 14 241 482 1,687 2,963 3,374 5,926 20,741 41,482 714,083 1,428,166 4,998,581 9,997,162

Collatz Trajectory (163 steps to reach 1)

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

9,997,162 4,998,581 14,995,744 7,497,872 3,748,936 1,874,468 937,234 468,617 1,405,852 702,926 351,463 1,054,390 527,195 1,581,586 790,793 2,372,380 1,186,190 593,095 1,779,286 889,643 2,668,930 1,334,465 4,003,396 2,001,698 1,000,849 3,002,548 1,501,274 750,637 2,251,912 1,125,956 562,978 281,489 844,468 422,234 211,117 633,352 316,676 158,338 79,169 237,508 118,754 59,377 178,132 89,066 44,533 133,600 66,800 33,400 16,700 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570

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