3,319,212

2² × 3 × 13 × 21277

3,319,212 factors as 2^2 × 3 × 13 × 21277. Its 24 positive divisors give a proper-divisor sum of 5,021,764, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 21277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,340,976

Proper Divisor Sum 5,021,764

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3319207 ← → #3319219

Radix Representation

Decimal	3319212
Binary	1100101010010110101100 (22 bits)
Octal	0o14522654
Hexadecimal	0x32A5AC

Divisor Catalog (24)

Collatz Trajectory (102 steps to reach 1)

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

3,319,212 1,659,606 829,803 2,489,410 1,244,705 3,734,116 1,867,058 933,529 2,800,588 1,400,294 700,147 2,100,442 1,050,221 3,150,664 1,575,332 787,666 393,833 1,181,500 590,750 295,375 886,126 443,063 1,329,190 664,595 1,993,786 996,893 2,990,680 1,495,340 747,670 373,835 1,121,506 560,753 1,682,260 841,130 420,565 1,261,696 630,848 315,424 157,712 78,856 39,428 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059

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