λ
Integer Codex

8,577,735

3 × 5 × 233 × 47
Deficient Odd Composite

For 8,577,735, the 32 positive divisors have a total of 14,653,440. Removing 8,577,735 leaves 6,075,705, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 3 × 5 × 23^3 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,653,440
Proper Divisor Sum 6,075,705
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8577727 ← → #8577739

Radix Representation

Decimal 8577735
Binary 100000101110001011000111 (24 bits)
Octal 0o40561307
Hexadecimal 0x82E2C7

Divisor Catalog (5 of 32)

1 3 5 15 23

Collatz Trajectory (150 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.

8,577,735 25,733,206 12,866,603 38,599,810 19,299,905

More profiles

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