λ
Prime Ledger

3,498,786

2 × 32 × 194377
Abundant Even Composite

3,498,786 has the prime decomposition 2 × 3^2 × 194377. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 194377
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,580,742
Proper Divisor Sum 4,081,956
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3498773 ← → #3498797

Radix Representation

Decimal 3498786
Binary 1101010110001100100010 (22 bits)
Octal 0o15261442
Hexadecimal 0x356322

Divisor Catalog (12)

1 2 3 6 9 18 194,377 388,754 583,131 1,166,262 1,749,393 3,498,786

Collatz Trajectory (71 steps to reach 1)

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

3,498,786 1,749,393 5,248,180 2,624,090 1,312,045 3,936,136 1,968,068 984,034 492,017 1,476,052 738,026 369,013 1,107,040 553,520 276,760 138,380 69,190 34,595 103,786 51,893 155,680 77,840 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106

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