λ
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646,480

24 × 5 × 8081
Abundant Even Composite

646,480 factors as 2^4 × 5 × 8081. Its 20 positive divisors give a proper-divisor sum of 856,772, so this integer is abundant. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 8081
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,503,252
Proper Divisor Sum 856,772
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #646453 ← → #646519

Radix Representation

Decimal 646480
Binary 10011101110101010000 (20 bits)
Octal 0o2356520
Hexadecimal 0x9DD50

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 8,081 16,162 32,324 40,405 64,648 80,810 129,296 161,620 323,240 646,480

Collatz Trajectory (48 steps to reach 1)

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

646,480 323,240 161,620 80,810 40,405 121,216 60,608 30,304 15,152 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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