432,084

2² × 3 × 36007

For 432,084, the 12 positive divisors have a total of 1,008,224. Removing 432,084 leaves 576,140, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 36007

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,008,224

Proper Divisor Sum 576,140

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #432073 ← → #432097

Radix Representation

Decimal	432084
Binary	1101001011111010100 (19 bits)
Octal	0o1513724
Hexadecimal	0x697D4

Divisor Catalog (12)

1 2 3 4 6 12 36,007 72,014 108,021 144,028 216,042 432,084

Collatz Trajectory (143 steps to reach 1)

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

432,084 216,042 108,021 324,064 162,032 81,016 40,508 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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