3,848,484

2² × 3 × 71 × 4517

3,848,484 factors as 2^2 × 3 × 71 × 4517. Its 24 positive divisors give a proper-divisor sum of 5,259,804, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 4517

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,108,288

Proper Divisor Sum 5,259,804

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3848473 ← → #3848491

Radix Representation

Decimal	3848484
Binary	1110101011100100100100 (22 bits)
Octal	0o16534444
Hexadecimal	0x3AB924

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 4,517 9,034 13,551 18,068 27,102 54,204 320,707 641,414 962,121 1,282,828 1,924,242 3,848,484

Collatz Trajectory (216 steps to reach 1)

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

3,848,484 1,924,242 962,121 2,886,364 1,443,182 721,591 2,164,774 1,082,387 3,247,162 1,623,581 4,870,744 2,435,372 1,217,686 608,843 1,826,530 913,265 2,739,796 1,369,898 684,949 2,054,848 1,027,424 513,712 256,856 128,428 64,214 32,107 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070

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