λ
Harmonic Matrix

329,447

241 × 1367
Deficient Odd Composite

329,447 has digital root 2. The neighboring primes are 329431 and 329471; its proper-divisor sum differs from the starting integer by -327,838.

Prime Factor Structure

Factorization String 241 × 1367
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 331,056
Proper Divisor Sum 1,609
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #329431 ← → #329471

Radix Representation

Decimal 329447
Binary 1010000011011100111 (19 bits)
Octal 0o1203347
Hexadecimal 0x506E7

Divisor Catalog (4)

1 241 1,367 329,447

Collatz Trajectory (184 steps to reach 1)

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

329,447 988,342 494,171 1,482,514 741,257 2,223,772 1,111,886 555,943 1,667,830 833,915 2,501,746 1,250,873 3,752,620 1,876,310 938,155 2,814,466 1,407,233 4,221,700 2,110,850 1,055,425 3,166,276 1,583,138 791,569 2,374,708 1,187,354 593,677 1,781,032 890,516 445,258 222,629 667,888 333,944 166,972 83,486 41,743 125,230 62,615 187,846 93,923 281,770 140,885 422,656 211,328 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092

More profiles

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