3,804,821

17 × 23 × 37 × 263

3,804,821 has the prime decomposition 17 × 23 × 37 × 263. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 23 × 37 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,333,824

Proper Divisor Sum 529,003

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3804811 ← → #3804859

Radix Representation

Decimal	3804821
Binary	1110100000111010010101 (22 bits)
Octal	0o16407225
Hexadecimal	0x3A0E95

Divisor Catalog (16)

1 17 23 37 263 391 629 851 4,471 6,049 9,731 14,467 102,833 165,427 223,813 3,804,821

Collatz Trajectory (102 steps to reach 1)

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

3,804,821 11,414,464 5,707,232 2,853,616 1,426,808 713,404 356,702 178,351 535,054 267,527 802,582 401,291 1,203,874 601,937 1,805,812 902,906 451,453 1,354,360 677,180 338,590 169,295 507,886 253,943 761,830 380,915 1,142,746 571,373 1,714,120 857,060 428,530 214,265 642,796 321,398 160,699 482,098 241,049 723,148 361,574 180,787 542,362 271,181 813,544 406,772 203,386 101,693 305,080 152,540 76,270 38,135 114,406 57,203 171,610 85,805 257,416 128,708 64,354 32,177 96,532 48,266 24,133

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