320,500

2² × 5³ × 641

320,500 factors as 2^2 × 5^3 × 641. Its 24 positive divisors give a proper-divisor sum of 380,564, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 701,064

Proper Divisor Sum 380,564

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #320483 ← → #320513

Radix Representation

Decimal	320500
Binary	1001110001111110100 (19 bits)
Octal	0o1161764
Hexadecimal	0x4E3F4

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 641 1,282 2,564 3,205 6,410 12,820 16,025 32,050 64,100 80,125 160,250 320,500

Collatz Trajectory (70 steps to reach 1)

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

320,500 160,250 80,125 240,376 120,188 60,094 30,047 90,142 45,071 135,214 67,607 202,822 101,411 304,234 152,117 456,352 228,176 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341

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