2,642,360

2³ × 5 × 7 × 9437

2,642,360 has the prime decomposition 2^3 × 5 × 7 × 9437. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 9437

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,795,360

Proper Divisor Sum 4,153,000

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2642359 ← → #2642369

Radix Representation

Decimal	2642360
Binary	1010000101000110111000 (22 bits)
Octal	0o12050670
Hexadecimal	0x2851B8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9,437 18,874 37,748 47,185 66,059 75,496 94,370 132,118 188,740 264,236 330,295 377,480 528,472 660,590 1,321,180 2,642,360

Collatz Trajectory (293 steps to reach 1)

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

2,642,360 1,321,180 660,590 330,295 990,886 495,443 1,486,330 743,165 2,229,496 1,114,748 557,374 278,687 836,062 418,031 1,254,094 627,047 1,881,142 940,571 2,821,714 1,410,857 4,232,572 2,116,286 1,058,143 3,174,430 1,587,215 4,761,646 2,380,823 7,142,470 3,571,235 10,713,706 5,356,853 16,070,560 8,035,280 4,017,640 2,008,820 1,004,410 502,205 1,506,616 753,308 376,654 188,327 564,982 282,491 847,474 423,737 1,271,212 635,606 317,803 953,410 476,705 1,430,116 715,058 357,529 1,072,588 536,294 268,147 804,442 402,221 1,206,664 603,332

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