3,210,172

2² × 7 × 114649

3,210,172 factors as 2^2 × 7 × 114649. Its 12 positive divisors give a proper-divisor sum of 3,210,228, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 114649

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,420,400

Proper Divisor Sum 3,210,228

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #3210167 ← → #3210199

Radix Representation

Decimal	3210172
Binary	1100001111101110111100 (22 bits)
Octal	0o14175674
Hexadecimal	0x30FBBC

Divisor Catalog (12)

1 2 4 7 14 28 114,649 229,298 458,596 802,543 1,605,086 3,210,172

Collatz Trajectory (146 steps to reach 1)

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

3,210,172 1,605,086 802,543 2,407,630 1,203,815 3,611,446 1,805,723 5,417,170 2,708,585 8,125,756 4,062,878 2,031,439 6,094,318 3,047,159 9,141,478 4,570,739 13,712,218 6,856,109 20,568,328 10,284,164 5,142,082 2,571,041 7,713,124 3,856,562 1,928,281 5,784,844 2,892,422 1,446,211 4,338,634 2,169,317 6,507,952 3,253,976 1,626,988 813,494 406,747 1,220,242 610,121 1,830,364 915,182 457,591 1,372,774 686,387 2,059,162 1,029,581 3,088,744 1,544,372 772,186 386,093 1,158,280 579,140 289,570 144,785 434,356 217,178 108,589 325,768 162,884 81,442 40,721 122,164

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