8,100,200

2³ × 5² × 101 × 401

8,100,200 has digital root 2. The neighboring primes are 8100181 and 8100203; its proper-divisor sum differs from the starting integer by 2,866,460.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 101 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,066,860

Proper Divisor Sum 10,966,660

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #8100181 ← → #8100203

Radix Representation

Decimal	8100200
Binary	11110111001100101101000 (23 bits)
Octal	0o36714550
Hexadecimal	0x7B9968

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 101 200 202 401 404 505 802 808 1,010 1,604 2,005 2,020 2,525 3,208 4,010 4,040 5,050 8,020 10,025 10,100 16,040 20,050 20,200 40,100 40,501 80,200 81,002 162,004 202,505 324,008 405,010 810,020 1,012,525 1,620,040 2,025,050 4,050,100 8,100,200

Collatz Trajectory (230 steps to reach 1)

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

8,100,200 4,050,100 2,025,050 1,012,525 3,037,576 1,518,788 759,394 379,697 1,139,092 569,546 284,773 854,320 427,160 213,580 106,790 53,395 160,186 80,093 240,280 120,140 60,070 30,035 90,106 45,053 135,160 67,580 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279

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