8,973,767

11 × 347 × 2351

For 8,973,767, the 8 positive divisors have a total of 9,821,952. Removing 8,973,767 leaves 848,185, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 347 × 2351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,821,952

Proper Divisor Sum 848,185

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #8973763 ← → #8973791

Radix Representation

Decimal	8973767
Binary	100010001110110111000111 (24 bits)
Octal	0o42166707
Hexadecimal	0x88EDC7

Divisor Catalog (8)

1 11 347 2,351 3,817 25,861 815,797 8,973,767

Collatz Trajectory (137 steps to reach 1)

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

8,973,767 26,921,302 13,460,651 40,381,954 20,190,977 60,572,932 30,286,466 15,143,233 45,429,700 22,714,850 11,357,425 34,072,276 17,036,138 8,518,069 25,554,208 12,777,104 6,388,552 3,194,276 1,597,138 798,569 2,395,708 1,197,854 598,927 1,796,782 898,391 2,695,174 1,347,587 4,042,762 2,021,381 6,064,144 3,032,072 1,516,036 758,018 379,009 1,137,028 568,514 284,257 852,772 426,386 213,193 639,580 319,790 159,895 479,686 239,843 719,530 359,765 1,079,296 539,648 269,824 134,912 67,456 33,728 16,864 8,432 4,216 2,108 1,054 527 1,582

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