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Atlas › Integer Profiles › Node 2,100,546

2,100,546

2 × 33 × 7 × 5557
Abundant Even Composite

2,100,546 factors as 2 × 3^3 × 7 × 5557. Its 32 positive divisors give a proper-divisor sum of 3,235,134, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 5557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,335,680
Proper Divisor Sum 3,235,134
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2100541 ← → #2100551

Radix Representation

Decimal 2100546
Binary 1000000000110101000010 (22 bits)
Octal 0o10006502
Hexadecimal 0x200D42

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 5,557 11,114 16,671 33,342 38,899 50,013 77,798 100,026 116,697 150,039 233,394 300,078 350,091 700,182 1,050,273 2,100,546

Collatz Trajectory (91 steps to reach 1)

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

2,100,546 1,050,273 3,150,820 1,575,410 787,705 2,363,116 1,181,558 590,779 1,772,338 886,169 2,658,508 1,329,254 664,627 1,993,882 996,941 2,990,824 1,495,412 747,706 373,853 1,121,560 560,780 280,390 140,195 420,586 210,293 630,880 315,440 157,720 78,860 39,430 19,715 59,146 29,573 88,720 44,360 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328

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