λ
Match Zalai

3,415,763

13 × 19 × 13829
Deficient Odd Composite

3,415,763 factors as 13 × 19 × 13829. Its 8 positive divisors give a proper-divisor sum of 456,637, so this integer is deficient. The Collatz stopping time is 84 steps.

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Prime Factor Structure

Factorization String 13 × 19 × 13829
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,872,400
Proper Divisor Sum 456,637
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3415757 ← → #3415777

Radix Representation

Decimal 3415763
Binary 1101000001111011010011 (22 bits)
Octal 0o15017323
Hexadecimal 0x341ED3

Divisor Catalog (5 of 8)

1 13 19 247 13,829

Collatz Trajectory (84 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.

3,415,763 10,247,290 5,123,645 15,370,936 7,685,468

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