212,920

2³ × 5 × 5323

212,920 has the prime decomposition 2^3 × 5 × 5323. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 5323

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 479,160

Proper Divisor Sum 266,240

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #212917 ← → #212923

Radix Representation

Decimal	212920
Binary	110011111110111000 (18 bits)
Octal	0o637670
Hexadecimal	0x33FB8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 5,323 10,646 21,292 26,615 42,584 53,230 106,460 212,920

Collatz Trajectory (80 steps to reach 1)

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

212,920 106,460 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38

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