128,080

2⁴ × 5 × 1601

128,080 factors as 2^4 × 5 × 1601. Its 20 positive divisors give a proper-divisor sum of 169,892, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 1601

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 297,972

Proper Divisor Sum 169,892

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #128053 ← → #128099

Radix Representation

Decimal	128080
Binary	11111010001010000 (17 bits)
Octal	0o372120
Hexadecimal	0x1F450

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 1,601 3,202 6,404 8,005 12,808 16,010 25,616 32,020 64,040 128,080

Collatz Trajectory (56 steps to reach 1)

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

128,080 64,040 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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