λ
Zalai Atlas

1,788,060

22 × 3 × 5 × 17 × 1753
Abundant Even Composite

1,788,060 has the prime decomposition 2^2 × 3 × 5 × 17 × 1753. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 1753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,304,096
Proper Divisor Sum 3,516,036
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1788041 ← → #1788067

Radix Representation

Decimal 1788060
Binary 110110100100010011100 (21 bits)
Octal 0o6644234
Hexadecimal 0x1B489C

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 1,753 3,506 5,259 7,012 8,765 10,518 17,530 21,036 26,295 29,801 35,060 52,590 59,602 89,403 105,180 119,204 149,005 178,806 298,010 357,612 447,015 596,020 894,030 1,788,060

Collatz Trajectory (96 steps to reach 1)

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

1,788,060 894,030 447,015 1,341,046 670,523 2,011,570 1,005,785 3,017,356 1,508,678 754,339 2,263,018 1,131,509 3,394,528 1,697,264 848,632 424,316 212,158 106,079 318,238 159,119 477,358 238,679 716,038 358,019 1,074,058 537,029 1,611,088 805,544 402,772 201,386 100,693 302,080 151,040 75,520 37,760 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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