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Atlas › Integer Profiles › Node 2,200,446

2,200,446

2 × 34 × 172 × 47
Abundant Even Composite

2,200,446 factors as 2 × 3^4 × 17^2 × 47. Its 60 positive divisors give a proper-divisor sum of 3,148,722, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 17^2 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,349,168
Proper Divisor Sum 3,148,722
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2200441 ← → #2200459

Radix Representation

Decimal 2200446
Binary 1000011001001101111110 (22 bits)
Octal 0o10311576
Hexadecimal 0x21937E

Divisor Catalog (60)

1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 282 289 306 423 459 578 799 846 867 918 1,269 1,377 1,598 1,734 2,397 2,538 2,601 2,754 3,807 4,794 5,202 7,191 7,614 7,803 13,583 14,382 15,606 21,573 23,409 27,166 40,749 43,146 46,818 64,719 81,498 122,247 129,438 244,494 366,741 733,482 1,100,223 2,200,446

Collatz Trajectory (241 steps to reach 1)

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

2,200,446 1,100,223 3,300,670 1,650,335 4,951,006 2,475,503 7,426,510 3,713,255 11,139,766 5,569,883 16,709,650 8,354,825 25,064,476 12,532,238 6,266,119 18,798,358 9,399,179 28,197,538 14,098,769 42,296,308 21,148,154 10,574,077 31,722,232 15,861,116 7,930,558 3,965,279 11,895,838 5,947,919 17,843,758 8,921,879 26,765,638 13,382,819 40,148,458 20,074,229 60,222,688 30,111,344 15,055,672 7,527,836 3,763,918 1,881,959 5,645,878 2,822,939 8,468,818 4,234,409 12,703,228 6,351,614 3,175,807 9,527,422 4,763,711 14,291,134 7,145,567 21,436,702 10,718,351 32,155,054 16,077,527 48,232,582 24,116,291 72,348,874 36,174,437 108,523,312

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