8,672,091

3 × 17 × 97 × 1753

For 8,672,091, the 16 positive divisors have a total of 12,376,224. Removing 8,672,091 leaves 3,704,133, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 97 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,376,224

Proper Divisor Sum 3,704,133

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8672087 ← → #8672099

Radix Representation

Decimal	8672091
Binary	100001000101001101011011 (24 bits)
Octal	0o41051533
Hexadecimal	0x84535B

Divisor Catalog (16)

1 3 17 51 97 291 1,649 1,753 4,947 5,259 29,801 89,403 170,041 510,123 2,890,697 8,672,091

Collatz Trajectory (150 steps to reach 1)

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

8,672,091 26,016,274 13,008,137 39,024,412 19,512,206 9,756,103 29,268,310 14,634,155 43,902,466 21,951,233 65,853,700 32,926,850 16,463,425 49,390,276 24,695,138 12,347,569 37,042,708 18,521,354 9,260,677 27,782,032 13,891,016 6,945,508 3,472,754 1,736,377 5,209,132 2,604,566 1,302,283 3,906,850 1,953,425 5,860,276 2,930,138 1,465,069 4,395,208 2,197,604 1,098,802 549,401 1,648,204 824,102 412,051 1,236,154 618,077 1,854,232 927,116 463,558 231,779 695,338 347,669 1,043,008 521,504 260,752 130,376 65,188 32,594 16,297 48,892 24,446 12,223 36,670 18,335 55,006

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