λ
Harmonic Matrix

298,002

2 × 3 × 49667
Abundant Even Composite

298,002 has digital root 3. The neighboring primes are 297991 and 298013; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 49667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 596,016
Proper Divisor Sum 298,014
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #297991 ← → #298013

Radix Representation

Decimal 298002
Binary 1001000110000010010 (19 bits)
Octal 0o1106022
Hexadecimal 0x48C12

Divisor Catalog (8)

1 2 3 6 49,667 99,334 149,001 298,002

Collatz Trajectory (96 steps to reach 1)

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

298,002 149,001 447,004 223,502 111,751 335,254 167,627 502,882 251,441 754,324 377,162 188,581 565,744 282,872 141,436 70,718 35,359 106,078 53,039 159,118 79,559 238,678 119,339 358,018 179,009 537,028 268,514 134,257 402,772 201,386 100,693 302,080 151,040 75,520 37,760 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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