422,100

2² × 3² × 5² × 7 × 67

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,534,624

Proper Divisor Sum 1,112,524

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #422099 ← → #422101

Radix Representation

Decimal	422100
Binary	1100111000011010100 (19 bits)
Octal	0o1470324
Hexadecimal	0x670D4

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 67 70 75 84 90 100 105 126 134 140 150 175 180 201 210 225 252 268 300 315 335 350 402 420 450 469 525 603 630 670 700 804 900 938 1,005

Collatz Trajectory (130 steps to reach 1)

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

422,100 211,050 105,525 316,576 158,288 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 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

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