λ
Modular Archive

490,410

2 × 32 × 5 × 5449
Abundant Even Composite

The decimal integer 490,410 is 1110111101110101010 in binary (19 bits), 1675652 in octal and 77BAA in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 5449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,275,300
Proper Divisor Sum 784,890
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #490393 ← → #490417

Radix Representation

Decimal 490410
Binary 1110111101110101010 (19 bits)
Octal 0o1675652
Hexadecimal 0x77BAA

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 5,449 10,898 16,347 27,245 32,694 49,041 54,490 81,735 98,082 163,470 245,205 490,410

Collatz Trajectory (182 steps to reach 1)

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

490,410 245,205 735,616 367,808 183,904 91,952 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103

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