2,142,180

2² × 3³ × 5 × 3967

2,142,180 has the prime decomposition 2^2 × 3^3 × 5 × 3967. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 3967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,666,240

Proper Divisor Sum 4,524,060

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2142169 ← → #2142181

Radix Representation

Decimal	2142180
Binary	1000001010111111100100 (22 bits)
Octal	0o10127744
Hexadecimal	0x20AFE4

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3,967 7,934 11,901 15,868 19,835 23,802 35,703 39,670 47,604 59,505 71,406 79,340 107,109 119,010 142,812 178,515 214,218 238,020 357,030 428,436 535,545 714,060 1,071,090 2,142,180

Collatz Trajectory (96 steps to reach 1)

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

2,142,180 1,071,090 535,545 1,606,636 803,318 401,659 1,204,978 602,489 1,807,468 903,734 451,867 1,355,602 677,801 2,033,404 1,016,702 508,351 1,525,054 762,527 2,287,582 1,143,791 3,431,374 1,715,687 5,147,062 2,573,531 7,720,594 3,860,297 11,580,892 5,790,446 2,895,223 8,685,670 4,342,835 13,028,506 6,514,253 19,542,760 9,771,380 4,885,690 2,442,845 7,328,536 3,664,268 1,832,134 916,067 2,748,202 1,374,101 4,122,304 2,061,152 1,030,576 515,288 257,644 128,822 64,411 193,234 96,617 289,852 144,926 72,463 217,390 108,695 326,086 163,043 489,130

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