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Atlas › Integer Profiles › Node 2,174,284

2,174,284

22 × 7 × 19 × 61 × 67
Abundant Even Composite

2,174,284 factors as 2^2 × 7 × 19 × 61 × 67. Its 48 positive divisors give a proper-divisor sum of 2,547,636, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,721,920
Proper Divisor Sum 2,547,636
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2174281 ← → #2174287

Radix Representation

Decimal 2174284
Binary 1000010010110101001100 (22 bits)
Octal 0o10226514
Hexadecimal 0x212D4C

Divisor Catalog (48)

1 2 4 7 14 19 28 38 61 67 76 122 133 134 244 266 268 427 469 532 854 938 1,159 1,273 1,708 1,876 2,318 2,546 4,087 4,636 5,092 8,113 8,174 8,911 16,226 16,348 17,822 28,609 32,452 35,644 57,218 77,653 114,436 155,306 310,612 543,571 1,087,142 2,174,284

Collatz Trajectory (210 steps to reach 1)

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

2,174,284 1,087,142 543,571 1,630,714 815,357 2,446,072 1,223,036 611,518 305,759 917,278 458,639 1,375,918 687,959 2,063,878 1,031,939 3,095,818 1,547,909 4,643,728 2,321,864 1,160,932 580,466 290,233 870,700 435,350 217,675 653,026 326,513 979,540 489,770 244,885 734,656 367,328 183,664 91,832 45,916 22,958 11,479 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796

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