λ
Integer Codex

8,078,315

5 × 7 × 17 × 13577
Deficient Odd Composite

For 8,078,315, the 16 positive divisors have a total of 11,731,392. Removing 8,078,315 leaves 3,653,077, which gives the deficient classification.

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Prime Factor Structure

Factorization String 5 × 7 × 17 × 13577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,731,392
Proper Divisor Sum 3,653,077
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8078299 ← → #8078341

Radix Representation

Decimal 8078315
Binary 11110110100001111101011 (23 bits)
Octal 0o36641753
Hexadecimal 0x7B43EB

Divisor Catalog (5 of 16)

1 5 7 17 35

Collatz Trajectory (323 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.

8,078,315 24,234,946 12,117,473 36,352,420 18,176,210

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