λ
Harmonic Matrix

326,574

2 × 32 × 18143
Abundant Even Composite

326,574 has digital root 9. The neighboring primes are 326567 and 326581; its proper-divisor sum differs from the starting integer by 54,468.

Prime Factor Structure

Factorization String 2 × 3^2 × 18143
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 707,616
Proper Divisor Sum 381,042
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #326567 ← → #326581

Radix Representation

Decimal 326574
Binary 1001111101110101110 (19 bits)
Octal 0o1175656
Hexadecimal 0x4FBAE

Divisor Catalog (12)

1 2 3 6 9 18 18,143 36,286 54,429 108,858 163,287 326,574

Collatz Trajectory (184 steps to reach 1)

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

326,574 163,287 489,862 244,931 734,794 367,397 1,102,192 551,096 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074

More profiles

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