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Atlas › Integer Profiles › Node 3,143,300

3,143,300

22 × 52 × 17 × 432
Abundant Even Composite

3,143,300 factors as 2^2 × 5^2 × 17 × 43^2. Its 54 positive divisors give a proper-divisor sum of 4,250,758, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 43^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 7,394,058
Proper Divisor Sum 4,250,758
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3143299 ← → #3143323

Radix Representation

Decimal 3143300
Binary 1011111111011010000100 (22 bits)
Octal 0o13773204
Hexadecimal 0x2FF684

Divisor Catalog (54)

1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1,075 1,462 1,700 1,849 2,150 2,924 3,655 3,698 4,300 7,310 7,396 9,245 14,620 18,275 18,490 31,433 36,550 36,980 46,225 62,866 73,100 92,450 125,732 157,165 184,900 314,330 628,660 785,825 1,571,650 3,143,300

Collatz Trajectory (133 steps to reach 1)

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

3,143,300 1,571,650 785,825 2,357,476 1,178,738 589,369 1,768,108 884,054 442,027 1,326,082 663,041 1,989,124 994,562 497,281 1,491,844 745,922 372,961 1,118,884 559,442 279,721 839,164 419,582 209,791 629,374 314,687 944,062 472,031 1,416,094 708,047 2,124,142 1,062,071 3,186,214 1,593,107 4,779,322 2,389,661 7,168,984 3,584,492 1,792,246 896,123 2,688,370 1,344,185 4,032,556 2,016,278 1,008,139 3,024,418 1,512,209 4,536,628 2,268,314 1,134,157 3,402,472 1,701,236 850,618 425,309 1,275,928 637,964 318,982 159,491 478,474 239,237 717,712

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