λ
Integer Codex

8,284,113

35 × 73 × 467
Deficient Odd Composite

For 8,284,113, the 24 positive divisors have a total of 12,606,048. Removing 8,284,113 leaves 4,321,935, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 3^5 × 73 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,606,048
Proper Divisor Sum 4,321,935
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8284103 ← → #8284123

Radix Representation

Decimal 8284113
Binary 11111100110011111010001 (23 bits)
Octal 0o37463721
Hexadecimal 0x7E67D1

Divisor Catalog (5 of 24)

1 3 9 27 73

Collatz Trajectory (155 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,284,113 24,852,340 12,426,170 6,213,085 18,639,256

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