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Atlas › Integer Profiles › Node 3,969,012

3,969,012

22 × 3 × 113 × 2927
Abundant Even Composite

3,969,012 factors as 2^2 × 3 × 113 × 2927. Its 24 positive divisors give a proper-divisor sum of 5,377,164, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 2927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,346,176
Proper Divisor Sum 5,377,164
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3969001 ← → #3969019

Radix Representation

Decimal 3969012
Binary 1111001000111111110100 (22 bits)
Octal 0o17107764
Hexadecimal 0x3C8FF4

Divisor Catalog (24)

1 2 3 4 6 12 113 226 339 452 678 1,356 2,927 5,854 8,781 11,708 17,562 35,124 330,751 661,502 992,253 1,323,004 1,984,506 3,969,012

Collatz Trajectory (123 steps to reach 1)

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

3,969,012 1,984,506 992,253 2,976,760 1,488,380 744,190 372,095 1,116,286 558,143 1,674,430 837,215 2,511,646 1,255,823 3,767,470 1,883,735 5,651,206 2,825,603 8,476,810 4,238,405 12,715,216 6,357,608 3,178,804 1,589,402 794,701 2,384,104 1,192,052 596,026 298,013 894,040 447,020 223,510 111,755 335,266 167,633 502,900 251,450 125,725 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196

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