2,590,542

2 × 3⁴ × 15991

2,590,542 has the prime decomposition 2 × 3^4 × 15991. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 15991

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,805,096

Proper Divisor Sum 3,214,554

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2590537 ← → #2590547

Radix Representation

Decimal	2590542
Binary	1001111000011101001110 (22 bits)
Octal	0o11703516
Hexadecimal	0x27874E

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 15,991 31,982 47,973 95,946 143,919 287,838 431,757 863,514 1,295,271 2,590,542

Collatz Trajectory (187 steps to reach 1)

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

2,590,542 1,295,271 3,885,814 1,942,907 5,828,722 2,914,361 8,743,084 4,371,542 2,185,771 6,557,314 3,278,657 9,835,972 4,917,986 2,458,993 7,376,980 3,688,490 1,844,245 5,532,736 2,766,368 1,383,184 691,592 345,796 172,898 86,449 259,348 129,674 64,837 194,512 97,256 48,628 24,314 12,157 36,472 18,236 9,118 4,559 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740

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