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Atlas › Integer Profiles › Node 12,793,300

12,793,300

22 × 52 × 132 × 757
Abundant Even Composite

12,793,300 factors as 2^2 × 5^2 × 13^2 × 757. Its 54 positive divisors give a proper-divisor sum of 17,307,638, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13^2 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 30,100,938
Proper Divisor Sum 17,307,638
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12793283 ← → #12793301

Radix Representation

Decimal 12793300
Binary 110000110011010111010100 (24 bits)
Octal 0o60632724
Hexadecimal 0xC335D4

Divisor Catalog (54)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 757 845 1,300 1,514 1,690 3,028 3,380 3,785 4,225 7,570 8,450 9,841 15,140 16,900 18,925 19,682 37,850 39,364 49,205 75,700 98,410 127,933 196,820 246,025 255,866 492,050 511,732 639,665 984,100 1,279,330 2,558,660 3,198,325 6,396,650 12,793,300

Collatz Trajectory (148 steps to reach 1)

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

12,793,300 6,396,650 3,198,325 9,594,976 4,797,488 2,398,744 1,199,372 599,686 299,843 899,530 449,765 1,349,296 674,648 337,324 168,662 84,331 252,994 126,497 379,492 189,746 94,873 284,620 142,310 71,155 213,466 106,733 320,200 160,100 80,050 40,025 120,076 60,038 30,019 90,058 45,029 135,088 67,544 33,772 16,886 8,443 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161

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