λ
Math Directory

4,567,723

107 × 42689
Deficient Odd Composite

4,567,723 factors as 107 × 42689. Its 4 positive divisors give a proper-divisor sum of 42,797, so this integer is deficient. The Collatz stopping time is 118 steps.

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Prime Factor Structure

Factorization String 107 × 42689
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,610,520
Proper Divisor Sum 42,797
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4567691 ← → #4567751

Radix Representation

Decimal 4567723
Binary 10001011011001010101011 (23 bits)
Octal 0o21331253
Hexadecimal 0x45B2AB

Divisor Catalog (4)

1 107 42,689 4,567,723

Collatz Trajectory (118 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.

4,567,723 13,703,170 6,851,585 20,554,756 10,277,378

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