8,002,526

2 × 7 × 31 × 18439

Prime Factor Structure

Factorization String 2 × 7 × 31 × 18439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,161,920

Proper Divisor Sum 6,159,394

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8002517 ← → #8002543

Radix Representation

Decimal	8002526
Binary	11110100001101111011110 (23 bits)
Octal	0o36415736
Hexadecimal	0x7A1BDE

Divisor Catalog (16)

1 2 7 14 31 62 217 434 18,439 36,878 129,073 258,146 571,609 1,143,218 4,001,263 8,002,526

Collatz Trajectory (416 steps to reach 1)

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

8,002,526 4,001,263 12,003,790 6,001,895 18,005,686 9,002,843 27,008,530 13,504,265 40,512,796 20,256,398 10,128,199 30,384,598 15,192,299 45,576,898 22,788,449 68,365,348 34,182,674 17,091,337 51,274,012 25,637,006 12,818,503 38,455,510 19,227,755 57,683,266 28,841,633 86,524,900 43,262,450 21,631,225 64,893,676 32,446,838 16,223,419 48,670,258 24,335,129 73,005,388 36,502,694 18,251,347 54,754,042 27,377,021 82,131,064 41,065,532 20,532,766 10,266,383 30,799,150 15,399,575 46,198,726 23,099,363 69,298,090 34,649,045 103,947,136 51,973,568 25,986,784 12,993,392 6,496,696 3,248,348 1,624,174 812,087 2,436,262 1,218,131 3,654,394 1,827,197

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