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Atlas › Integer Profiles › Node 2,186,232

2,186,232

23 × 3 × 71 × 1283
Abundant Even Composite

2,186,232 factors as 2^3 × 3 × 71 × 1283. Its 32 positive divisors give a proper-divisor sum of 3,360,648, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,546,880
Proper Divisor Sum 3,360,648
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2186231 ← → #2186269

Radix Representation

Decimal 2186232
Binary 1000010101101111111000 (22 bits)
Octal 0o10255770
Hexadecimal 0x215BF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1,283 1,704 2,566 3,849 5,132 7,698 10,264 15,396 30,792 91,093 182,186 273,279 364,372 546,558 728,744 1,093,116 2,186,232

Collatz Trajectory (179 steps to reach 1)

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

2,186,232 1,093,116 546,558 273,279 819,838 409,919 1,229,758 614,879 1,844,638 922,319 2,766,958 1,383,479 4,150,438 2,075,219 6,225,658 3,112,829 9,338,488 4,669,244 2,334,622 1,167,311 3,501,934 1,750,967 5,252,902 2,626,451 7,879,354 3,939,677 11,819,032 5,909,516 2,954,758 1,477,379 4,432,138 2,216,069 6,648,208 3,324,104 1,662,052 831,026 415,513 1,246,540 623,270 311,635 934,906 467,453 1,402,360 701,180 350,590 175,295 525,886 262,943 788,830 394,415 1,183,246 591,623 1,774,870 887,435 2,662,306 1,331,153 3,993,460 1,996,730 998,365 2,995,096

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