3,820,362

2 × 3 × 7 × 13 × 6997

3,820,362 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 13 × 6997 and its 32 divisors sum to 9,405,312.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 6997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,405,312

Proper Divisor Sum 5,584,950

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3820357 ← → #3820363

Radix Representation

Decimal	3820362
Binary	1110100100101101001010 (22 bits)
Octal	0o16445512
Hexadecimal	0x3A4B4A

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 6,997 13,994 20,991 41,982 48,979 90,961 97,958 146,937 181,922 272,883 293,874 545,766 636,727 1,273,454 1,910,181 3,820,362

Collatz Trajectory (247 steps to reach 1)

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

3,820,362 1,910,181 5,730,544 2,865,272 1,432,636 716,318 358,159 1,074,478 537,239 1,611,718 805,859 2,417,578 1,208,789 3,626,368 1,813,184 906,592 453,296 226,648 113,324 56,662 28,331 84,994 42,497 127,492 63,746 31,873 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239

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