480,032

2⁵ × 7 × 2143

480,032 has the prime decomposition 2^5 × 7 × 2143. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 2143

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,080,576

Proper Divisor Sum 600,544

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #480023 ← → #480043

Radix Representation

Decimal	480032
Binary	1110101001100100000 (19 bits)
Octal	0o1651440
Hexadecimal	0x75320

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 2,143 4,286 8,572 15,001 17,144 30,002 34,288 60,004 68,576 120,008 240,016 480,032

Collatz Trajectory (169 steps to reach 1)

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

480,032 240,016 120,008 60,004 30,002 15,001 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304

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