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480,800

25 × 52 × 601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,175,706
Proper Divisor Sum 694,906
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #480787 ← → #480803

Radix Representation

Decimal 480800
Binary 1110101011000100000 (19 bits)
Octal 0o1653040
Hexadecimal 0x75620

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 601 800 1,202 2,404 3,005 4,808 6,010 9,616 12,020 15,025 19,232 24,040 30,050 48,080 60,100 96,160 120,200 240,400 480,800

Collatz Trajectory (94 steps to reach 1)

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

480,800 240,400 120,200 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077

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