8,002,520

2³ × 5 × 200063

8,002,520 factors as 2^3 × 5 × 200063. Its 16 positive divisors give a proper-divisor sum of 10,003,240, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 200063

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,005,760

Proper Divisor Sum 10,003,240

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #8002517 ← → #8002543

Radix Representation

Decimal	8002520
Binary	11110100001101111011000 (23 bits)
Octal	0o36415730
Hexadecimal	0x7A1BD8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 200,063 400,126 800,252 1,000,315 1,600,504 2,000,630 4,001,260 8,002,520

Collatz Trajectory (93 steps to reach 1)

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

8,002,520 4,001,260 2,000,630 1,000,315 3,000,946 1,500,473 4,501,420 2,250,710 1,125,355 3,376,066 1,688,033 5,064,100 2,532,050 1,266,025 3,798,076 1,899,038 949,519 2,848,558 1,424,279 4,272,838 2,136,419 6,409,258 3,204,629 9,613,888 4,806,944 2,403,472 1,201,736 600,868 300,434 150,217 450,652 225,326 112,663 337,990 168,995 506,986 253,493 760,480 380,240 190,120 95,060 47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236

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