8,002,514

2 × 13 × 347 × 887

Prime Factor Structure

Factorization String 2 × 13 × 347 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,979,008

Proper Divisor Sum 4,976,494

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8002513 ← → #8002517

Radix Representation

Decimal	8002514
Binary	11110100001101111010010 (23 bits)
Octal	0o36415722
Hexadecimal	0x7A1BD2

Divisor Catalog (16)

1 2 13 26 347 694 887 1,774 4,511 9,022 11,531 23,062 307,789 615,578 4,001,257 8,002,514

Collatz Trajectory (279 steps to reach 1)

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

8,002,514 4,001,257 12,003,772 6,001,886 3,000,943 9,002,830 4,501,415 13,504,246 6,752,123 20,256,370 10,128,185 30,384,556 15,192,278 7,596,139 22,788,418 11,394,209 34,182,628 17,091,314 8,545,657 25,636,972 12,818,486 6,409,243 19,227,730 9,613,865 28,841,596 14,420,798 7,210,399 21,631,198 10,815,599 32,446,798 16,223,399 48,670,198 24,335,099 73,005,298 36,502,649 109,507,948 54,753,974 27,376,987 82,130,962 41,065,481 123,196,444 61,598,222 30,799,111 92,397,334 46,198,667 138,596,002 69,298,001 207,894,004 103,947,002 51,973,501 155,920,504 77,960,252 38,980,126 19,490,063 58,470,190 29,235,095 87,705,286 43,852,643 131,557,930 65,778,965

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