421,624

2³ × 7 × 7529

421,624 has the prime decomposition 2^3 × 7 × 7529. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 7529

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 903,600

Proper Divisor Sum 481,976

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #421621 ← → #421633

Radix Representation

Decimal	421624
Binary	1100110111011111000 (19 bits)
Octal	0o1467370
Hexadecimal	0x66EF8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 7,529 15,058 30,116 52,703 60,232 105,406 210,812 421,624

Collatz Trajectory (81 steps to reach 1)

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

421,624 210,812 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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