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Atlas › Integer Profiles › Node 12,371,450

12,371,450

2 × 52 × 7 × 13 × 2719
Abundant Even Composite

12,371,450 factors as 2 × 5^2 × 7 × 13 × 2719. Its 48 positive divisors give a proper-divisor sum of 15,960,070, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 2719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,331,520
Proper Divisor Sum 15,960,070
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #12371441 ← → #12371453

Radix Representation

Decimal 12371450
Binary 101111001100010111111010 (24 bits)
Octal 0o57142772
Hexadecimal 0xBCC5FA

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2,275 2,719 4,550 5,438 13,595 19,033 27,190 35,347 38,066 67,975 70,694 95,165 135,950 176,735 190,330 247,429 353,470 475,825 494,858 883,675 951,650 1,237,145 1,767,350 2,474,290 6,185,725 12,371,450

Collatz Trajectory (189 steps to reach 1)

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

12,371,450 6,185,725 18,557,176 9,278,588 4,639,294 2,319,647 6,958,942 3,479,471 10,438,414 5,219,207 15,657,622 7,828,811 23,486,434 11,743,217 35,229,652 17,614,826 8,807,413 26,422,240 13,211,120 6,605,560 3,302,780 1,651,390 825,695 2,477,086 1,238,543 3,715,630 1,857,815 5,573,446 2,786,723 8,360,170 4,180,085 12,540,256 6,270,128 3,135,064 1,567,532 783,766 391,883 1,175,650 587,825 1,763,476 881,738 440,869 1,322,608 661,304 330,652 165,326 82,663 247,990 123,995 371,986 185,993 557,980 278,990 139,495 418,486 209,243 627,730 313,865 941,596 470,798

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