2,642,820

2² × 3 × 5 × 17 × 2591

2,642,820 has digital root 6. The neighboring primes are 2642797 and 2642821; its proper-divisor sum differs from the starting integer by 2,552,568.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 2591

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,838,208

Proper Divisor Sum 5,195,388

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2642797 ← → #2642821

Radix Representation

Decimal	2642820
Binary	1010000101001110000100 (22 bits)
Octal	0o12051604
Hexadecimal	0x285384

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 2,591 5,182 7,773 10,364 12,955 15,546 25,910 31,092 38,865 44,047 51,820 77,730 88,094 132,141 155,460 176,188 220,235 264,282 440,470 528,564 660,705 880,940 1,321,410 2,642,820

Collatz Trajectory (174 steps to reach 1)

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

2,642,820 1,321,410 660,705 1,982,116 991,058 495,529 1,486,588 743,294 371,647 1,114,942 557,471 1,672,414 836,207 2,508,622 1,254,311 3,762,934 1,881,467 5,644,402 2,822,201 8,466,604 4,233,302 2,116,651 6,349,954 3,174,977 9,524,932 4,762,466 2,381,233 7,143,700 3,571,850 1,785,925 5,357,776 2,678,888 1,339,444 669,722 334,861 1,004,584 502,292 251,146 125,573 376,720 188,360 94,180 47,090 23,545 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582

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