λ
Math Directory

2,174,440

23 × 5 × 54361
Abundant Even Composite

2,174,440 factors as 2^3 × 5 × 54361. Its 16 positive divisors give a proper-divisor sum of 2,718,140, so this integer is abundant. The Collatz stopping time is 117 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 54361
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,892,580
Proper Divisor Sum 2,718,140
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2174423 ← → #2174461

Radix Representation

Decimal 2174440
Binary 1000010010110111101000 (22 bits)
Octal 0o10226750
Hexadecimal 0x212DE8

Divisor Catalog (5 of 16)

1 2 4 5 8

Collatz Trajectory (117 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.

2,174,440 1,087,220 543,610 271,805 815,416

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