429,648

2⁴ × 3 × 8951

429,648 is even and not a perfect square. Its factorization is 2^4 × 3 × 8951 and its 20 divisors sum to 1,110,048.

Prime Factor Structure

Factorization String 2^4 × 3 × 8951

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,110,048

Proper Divisor Sum 680,400

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #429643 ← → #429659

Radix Representation

Decimal	429648
Binary	1101000111001010000 (19 bits)
Octal	0o1507120
Hexadecimal	0x68E50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 8,951 17,902 26,853 35,804 53,706 71,608 107,412 143,216 214,824 429,648

Collatz Trajectory (143 steps to reach 1)

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

429,648 214,824 107,412 53,706 26,853 80,560 40,280 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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