λ
Integer Codex

9,072,742

2 × 72 × 43 × 2153
Deficient Even Composite

For 9,072,742, the 24 positive divisors have a total of 16,206,696. Removing 9,072,742 leaves 7,133,954, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 2 × 7^2 × 43 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,206,696
Proper Divisor Sum 7,133,954
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9072731 ← → #9072757

Radix Representation

Decimal 9072742
Binary 100010100111000001100110 (24 bits)
Octal 0o42470146
Hexadecimal 0x8A7066

Divisor Catalog (5 of 24)

1 2 7 14 43

Collatz Trajectory (132 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.

9,072,742 4,536,371 13,609,114 6,804,557 20,413,672

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