λ
Harmonic Matrix

1,478,346

2 × 3 × 246391
Abundant Even Composite

1,478,346 has digital root 6. The neighboring primes are 1478293 and 1478353; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 246391
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,956,704
Proper Divisor Sum 1,478,358
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1478293 ← → #1478353

Radix Representation

Decimal 1478346
Binary 101101000111011001010 (21 bits)
Octal 0o5507312
Hexadecimal 0x168ECA

Divisor Catalog (8)

1 2 3 6 246,391 492,782 739,173 1,478,346

Collatz Trajectory (150 steps to reach 1)

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

1,478,346 739,173 2,217,520 1,108,760 554,380 277,190 138,595 415,786 207,893 623,680 311,840 155,920 77,960 38,980 19,490 9,745 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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