λ
Integer Codex

724,757

11 × 41 × 1607
Deficient Odd Composite

For 724,757, the 8 positive divisors have a total of 810,432. Removing 724,757 leaves 85,675, which gives the deficient classification.

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Prime Factor Structure

Factorization String 11 × 41 × 1607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 810,432
Proper Divisor Sum 85,675
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #724751 ← → #724769

Radix Representation

Decimal 724757
Binary 10110000111100010101 (20 bits)
Octal 0o2607425
Hexadecimal 0xB0F15

Divisor Catalog (5 of 8)

1 11 41 451 1,607

Collatz Trajectory (43 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.

724,757 2,174,272 1,087,136 543,568 271,784

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