3,812,342

2 × 23 × 179 × 463

3,812,342 has the prime decomposition 2 × 23 × 179 × 463. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 179 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,013,440

Proper Divisor Sum 2,201,098

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3812309 ← → #3812357

Radix Representation

Decimal	3812342
Binary	1110100010101111110110 (22 bits)
Octal	0o16425766
Hexadecimal	0x3A2BF6

Divisor Catalog (16)

1 2 23 46 179 358 463 926 4,117 8,234 10,649 21,298 82,877 165,754 1,906,171 3,812,342

Collatz Trajectory (110 steps to reach 1)

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

3,812,342 1,906,171 5,718,514 2,859,257 8,577,772 4,288,886 2,144,443 6,433,330 3,216,665 9,649,996 4,824,998 2,412,499 7,237,498 3,618,749 10,856,248 5,428,124 2,714,062 1,357,031 4,071,094 2,035,547 6,106,642 3,053,321 9,159,964 4,579,982 2,289,991 6,869,974 3,434,987 10,304,962 5,152,481 15,457,444 7,728,722 3,864,361 11,593,084 5,796,542 2,898,271 8,694,814 4,347,407 13,042,222 6,521,111 19,563,334 9,781,667 29,345,002 14,672,501 44,017,504 22,008,752 11,004,376 5,502,188 2,751,094 1,375,547 4,126,642 2,063,321 6,189,964 3,094,982 1,547,491 4,642,474 2,321,237 6,963,712 3,481,856 1,740,928 870,464

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