2,564,406

2 × 3³ × 13² × 281

2,564,406 has the prime decomposition 2 × 3^3 × 13^2 × 281. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 13^2 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,192,720

Proper Divisor Sum 3,628,314

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2564381 ← → #2564407

Radix Representation

Decimal	2564406
Binary	1001110010000100110110 (22 bits)
Octal	0o11620466
Hexadecimal	0x272136

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 281 338 351 507 562 702 843 1,014 1,521 1,686 2,529 3,042 3,653 4,563 5,058 7,306 7,587 9,126 10,959 15,174 21,918 32,877 47,489 65,754 94,978 98,631 142,467 197,262 284,934 427,401 854,802 1,282,203 2,564,406

Collatz Trajectory (99 steps to reach 1)

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

2,564,406 1,282,203 3,846,610 1,923,305 5,769,916 2,884,958 1,442,479 4,327,438 2,163,719 6,491,158 3,245,579 9,736,738 4,868,369 14,605,108 7,302,554 3,651,277 10,953,832 5,476,916 2,738,458 1,369,229 4,107,688 2,053,844 1,026,922 513,461 1,540,384 770,192 385,096 192,548 96,274 48,137 144,412 72,206 36,103 108,310 54,155 162,466 81,233 243,700 121,850 60,925 182,776 91,388 45,694 22,847 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595

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