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Atlas › Integer Profiles › Node 8,200,542

8,200,542

2 × 3 × 72 × 27893
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 27893
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,079,496
Proper Divisor Sum 10,878,954
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8200541 ← → #8200559

Radix Representation

Decimal 8200542
Binary 11111010010000101011110 (23 bits)
Octal 0o37220536
Hexadecimal 0x7D215E

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 27,893 55,786 83,679 167,358 195,251 390,502 585,753 1,171,506 1,366,757 2,733,514 4,100,271 8,200,542

Collatz Trajectory (261 steps to reach 1)

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

8,200,542 4,100,271 12,300,814 6,150,407 18,451,222 9,225,611 27,676,834 13,838,417 41,515,252 20,757,626 10,378,813 31,136,440 15,568,220 7,784,110 3,892,055 11,676,166 5,838,083 17,514,250 8,757,125 26,271,376 13,135,688 6,567,844 3,283,922 1,641,961 4,925,884 2,462,942 1,231,471 3,694,414 1,847,207 5,541,622 2,770,811 8,312,434 4,156,217 12,468,652 6,234,326 3,117,163 9,351,490 4,675,745 14,027,236 7,013,618 3,506,809 10,520,428 5,260,214 2,630,107 7,890,322 3,945,161 11,835,484 5,917,742 2,958,871 8,876,614 4,438,307 13,314,922 6,657,461 19,972,384 9,986,192 4,993,096 2,496,548 1,248,274 624,137 1,872,412

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