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492,128

25 × 7 × 133
Abundant Even Composite

492,128 factors as 2^5 × 7 × 13^3. Its 48 positive divisors give a proper-divisor sum of 707,392, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,199,520
Proper Divisor Sum 707,392
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #492113 ← → #492227

Radix Representation

Decimal 492128
Binary 1111000001001100000 (19 bits)
Octal 0o1701140
Hexadecimal 0x78260

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1,183 1,352 1,456 2,197 2,366 2,704 2,912 4,394 4,732 5,408 8,788 9,464 15,379 17,576 18,928 30,758 35,152 37,856 61,516 70,304 123,032 246,064 492,128

Collatz Trajectory (63 steps to reach 1)

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

492,128 246,064 123,032 61,516 30,758 15,379 46,138 23,069 69,208 34,604 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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