100,226

2 × 7 × 7159

100,226 has the prime decomposition 2 × 7 × 7159. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 7159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 171,840

Proper Divisor Sum 71,614

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #100213 ← → #100237

Radix Representation

Decimal	100226
Binary	11000011110000010 (17 bits)
Octal	0o303602
Hexadecimal	0x18782

Divisor Catalog (8)

1 2 7 14 7,159 14,318 50,113 100,226

Collatz Trajectory (115 steps to reach 1)

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

100,226 50,113 150,340 75,170 37,585 112,756 56,378 28,189 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637

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