λ
Harmonic Matrix

297,384

23 × 3 × 12391
Abundant Even Composite

297,384 has digital root 6. The neighboring primes are 297377 and 297391; its proper-divisor sum differs from the starting integer by 148,752.

Prime Factor Structure

Factorization String 2^3 × 3 × 12391
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 743,520
Proper Divisor Sum 446,136
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #297377 ← → #297391

Radix Representation

Decimal 297384
Binary 1001000100110101000 (19 bits)
Octal 0o1104650
Hexadecimal 0x489A8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 12,391 24,782 37,173 49,564 74,346 99,128 148,692 297,384

Collatz Trajectory (189 steps to reach 1)

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

297,384 148,692 74,346 37,173 111,520 55,760 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333

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