3,210,129

3² × 13 × 27437

3,210,129 factors as 3^2 × 13 × 27437. Its 12 positive divisors give a proper-divisor sum of 1,783,587, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 27437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,993,716

Proper Divisor Sum 1,783,587

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3210121 ← → #3210167

Radix Representation

Decimal	3210129
Binary	1100001111101110010001 (22 bits)
Octal	0o14175621
Hexadecimal	0x30FB91

Divisor Catalog (12)

1 3 9 13 39 117 27,437 82,311 246,933 356,681 1,070,043 3,210,129

Collatz Trajectory (71 steps to reach 1)

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

3,210,129 9,630,388 4,815,194 2,407,597 7,222,792 3,611,396 1,805,698 902,849 2,708,548 1,354,274 677,137 2,031,412 1,015,706 507,853 1,523,560 761,780 380,890 190,445 571,336 285,668 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17

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