9,967,397

11 × 131 × 6917

For 9,967,397, the 8 positive divisors have a total of 10,958,112. Removing 9,967,397 leaves 990,715, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 131 × 6917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,958,112

Proper Divisor Sum 990,715

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #9967379 ← → #9967409

Radix Representation

Decimal	9967397
Binary	100110000001011100100101 (24 bits)
Octal	0o46013445
Hexadecimal	0x981725

Divisor Catalog (8)

1 11 131 1,441 6,917 76,087 906,127 9,967,397

Collatz Trajectory (114 steps to reach 1)

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

9,967,397 29,902,192 14,951,096 7,475,548 3,737,774 1,868,887 5,606,662 2,803,331 8,409,994 4,204,997 12,614,992 6,307,496 3,153,748 1,576,874 788,437 2,365,312 1,182,656 591,328 295,664 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757

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