λ
Match Zalai

2,749,016

23 × 343627
Deficient Even Composite

2,749,016 factors as 2^3 × 343627. Its 8 positive divisors give a proper-divisor sum of 2,405,404, so this integer is deficient. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^3 × 343627
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,154,420
Proper Divisor Sum 2,405,404
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2749007 ← → #2749027

Radix Representation

Decimal 2749016
Binary 1010011111001001011000 (22 bits)
Octal 0o12371130
Hexadecimal 0x29F258

Divisor Catalog (8)

1 2 4 8 343,627 687,254 1,374,508 2,749,016

Collatz Trajectory (55 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,749,016 1,374,508 687,254 343,627 1,030,882 515,441 1,546,324 773,162 386,581 1,159,744 579,872 289,936 144,968 72,484 36,242 18,121 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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