λ
Harmonic Matrix

498,340

22 × 5 × 24917
Abundant Even Composite

498,340 has digital root 1. The neighboring primes are 498331 and 498343; its proper-divisor sum differs from the starting integer by 49,876.

Prime Factor Structure

Factorization String 2^2 × 5 × 24917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,046,556
Proper Divisor Sum 548,216
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #498331 ← → #498343

Radix Representation

Decimal 498340
Binary 1111001101010100100 (19 bits)
Octal 0o1715244
Hexadecimal 0x79AA4

Divisor Catalog (12)

1 2 4 5 10 20 24,917 49,834 99,668 124,585 249,170 498,340

Collatz Trajectory (213 steps to reach 1)

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

498,340 249,170 124,585 373,756 186,878 93,439 280,318 140,159 420,478 210,239 630,718 315,359 946,078 473,039 1,419,118 709,559 2,128,678 1,064,339 3,193,018 1,596,509 4,789,528 2,394,764 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715 101,146 50,573 151,720 75,860 37,930 18,965

More profiles

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