8,378,217

3² × 173 × 5381

For 8,378,217, the 12 positive divisors have a total of 12,174,084. Removing 8,378,217 leaves 3,795,867, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 173 × 5381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,174,084

Proper Divisor Sum 3,795,867

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8378203 ← → #8378219

Radix Representation

Decimal	8378217
Binary	11111111101011101101001 (23 bits)
Octal	0o37753551
Hexadecimal	0x7FD769

Divisor Catalog (12)

1 3 9 173 519 1,557 5,381 16,143 48,429 930,913 2,792,739 8,378,217

Collatz Trajectory (181 steps to reach 1)

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

8,378,217 25,134,652 12,567,326 6,283,663 18,850,990 9,425,495 28,276,486 14,138,243 42,414,730 21,207,365 63,622,096 31,811,048 15,905,524 7,952,762 3,976,381 11,929,144 5,964,572 2,982,286 1,491,143 4,473,430 2,236,715 6,710,146 3,355,073 10,065,220 5,032,610 2,516,305 7,548,916 3,774,458 1,887,229 5,661,688 2,830,844 1,415,422 707,711 2,123,134 1,061,567 3,184,702 1,592,351 4,777,054 2,388,527 7,165,582 3,582,791 10,748,374 5,374,187 16,122,562 8,061,281 24,183,844 12,091,922 6,045,961 18,137,884 9,068,942 4,534,471 13,603,414 6,801,707 20,405,122 10,202,561 30,607,684 15,303,842 7,651,921 22,955,764 11,477,882

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