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Atlas › Integer Profiles › Node 1,962,084

1,962,084

22 × 3 × 23 × 7109
Abundant Even Composite

1,962,084 factors as 2^2 × 3 × 23 × 7109. Its 24 positive divisors give a proper-divisor sum of 2,815,836, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 7109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,777,920
Proper Divisor Sum 2,815,836
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1962071 ← → #1962091

Radix Representation

Decimal 1962084
Binary 111011111000001100100 (21 bits)
Octal 0o7370144
Hexadecimal 0x1DF064

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 7,109 14,218 21,327 28,436 42,654 85,308 163,507 327,014 490,521 654,028 981,042 1,962,084

Collatz Trajectory (153 steps to reach 1)

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

1,962,084 981,042 490,521 1,471,564 735,782 367,891 1,103,674 551,837 1,655,512 827,756 413,878 206,939 620,818 310,409 931,228 465,614 232,807 698,422 349,211 1,047,634 523,817 1,571,452 785,726 392,863 1,178,590 589,295 1,767,886 883,943 2,651,830 1,325,915 3,977,746 1,988,873 5,966,620 2,983,310 1,491,655 4,474,966 2,237,483 6,712,450 3,356,225 10,068,676 5,034,338 2,517,169 7,551,508 3,775,754 1,887,877 5,663,632 2,831,816 1,415,908 707,954 353,977 1,061,932 530,966 265,483 796,450 398,225 1,194,676 597,338 298,669 896,008 448,004

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