λ
Math Directory

3,774,688

25 × 117959
Deficient Even Composite

3,774,688 factors as 2^5 × 117959. Its 12 positive divisors give a proper-divisor sum of 3,656,792, so this integer is deficient. The Collatz stopping time is 172 steps.

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Prime Factor Structure

Factorization String 2^5 × 117959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,431,480
Proper Divisor Sum 3,656,792
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3774677 ← → #3774689

Radix Representation

Decimal 3774688
Binary 1110011001100011100000 (22 bits)
Octal 0o16314340
Hexadecimal 0x3998E0

Divisor Catalog (5 of 12)

1 2 4 8 16

Collatz Trajectory (172 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.

3,774,688 1,887,344 943,672 471,836 235,918

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