3,210,128

2⁴ × 313 × 641

3,210,128 factors as 2^4 × 313 × 641. Its 20 positive divisors give a proper-divisor sum of 3,039,100, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^4 × 313 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,249,228

Proper Divisor Sum 3,039,100

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3210121 ← → #3210167

Radix Representation

Decimal	3210128
Binary	1100001111101110010000 (22 bits)
Octal	0o14175620
Hexadecimal	0x30FB90

Divisor Catalog (20)

Collatz Trajectory (146 steps to reach 1)

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

3,210,128 1,605,064 802,532 401,266 200,633 601,900 300,950 150,475 451,426 225,713 677,140 338,570 169,285 507,856 253,928 126,964 63,482 31,741 95,224 47,612 23,806 11,903 35,710 17,855 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040

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