3,481,426

2 × 13 × 293 × 457

3,481,426 has the prime decomposition 2 × 13 × 293 × 457. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 293 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,655,384

Proper Divisor Sum 2,173,958

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3481403 ← → #3481463

Radix Representation

Decimal	3481426
Binary	1101010001111101010010 (22 bits)
Octal	0o15217522
Hexadecimal	0x351F52

Divisor Catalog (16)

1 2 13 26 293 457 586 914 3,809 5,941 7,618 11,882 133,901 267,802 1,740,713 3,481,426

Collatz Trajectory (190 steps to reach 1)

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

3,481,426 1,740,713 5,222,140 2,611,070 1,305,535 3,916,606 1,958,303 5,874,910 2,937,455 8,812,366 4,406,183 13,218,550 6,609,275 19,827,826 9,913,913 29,741,740 14,870,870 7,435,435 22,306,306 11,153,153 33,459,460 16,729,730 8,364,865 25,094,596 12,547,298 6,273,649 18,820,948 9,410,474 4,705,237 14,115,712 7,057,856 3,528,928 1,764,464 882,232 441,116 220,558 110,279 330,838 165,419 496,258 248,129 744,388 372,194 186,097 558,292 279,146 139,573 418,720 209,360 104,680 52,340 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084

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