λ
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Atlas › Integer Profiles › Node 8,043,322

8,043,322

2 × 7 × 31 × 43 × 431
Deficient Even Composite

8,043,322 factors as 2 × 7 × 31 × 43 × 431. Its 32 positive divisors give a proper-divisor sum of 6,554,822, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 43 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,598,144
Proper Divisor Sum 6,554,822
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8043271 ← → #8043323

Radix Representation

Decimal 8043322
Binary 11110101011101100111010 (23 bits)
Octal 0o36535472
Hexadecimal 0x7ABB3A

Divisor Catalog (32)

1 2 7 14 31 43 62 86 217 301 431 434 602 862 1,333 2,666 3,017 6,034 9,331 13,361 18,533 18,662 26,722 37,066 93,527 129,731 187,054 259,462 574,523 1,149,046 4,021,661 8,043,322

Collatz Trajectory (142 steps to reach 1)

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

8,043,322 4,021,661 12,064,984 6,032,492 3,016,246 1,508,123 4,524,370 2,262,185 6,786,556 3,393,278 1,696,639 5,089,918 2,544,959 7,634,878 3,817,439 11,452,318 5,726,159 17,178,478 8,589,239 25,767,718 12,883,859 38,651,578 19,325,789 57,977,368 28,988,684 14,494,342 7,247,171 21,741,514 10,870,757 32,612,272 16,306,136 8,153,068 4,076,534 2,038,267 6,114,802 3,057,401 9,172,204 4,586,102 2,293,051 6,879,154 3,439,577 10,318,732 5,159,366 2,579,683 7,739,050 3,869,525 11,608,576 5,804,288 2,902,144 1,451,072 725,536 362,768 181,384 90,692 45,346 22,673 68,020 34,010 17,005 51,016

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