λ
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Atlas › Integer Profiles › Node 18,209,367

18,209,367

34 × 11 × 107 × 191
Deficient Odd Composite

18,209,367 factors as 3^4 × 11 × 107 × 191. Its 40 positive divisors give a proper-divisor sum of 11,899,305, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 107 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 30,108,672
Proper Divisor Sum 11,899,305
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #18209341 ← → #18209407

Radix Representation

Decimal 18209367
Binary 1000101011101101001010111 (25 bits)
Octal 0o105355127
Hexadecimal 0x115DA57

Divisor Catalog (40)

1 3 9 11 27 33 81 99 107 191 297 321 573 891 963 1,177 1,719 2,101 2,889 3,531 5,157 6,303 8,667 10,593 15,471 18,909 20,437 31,779 56,727 61,311 95,337 170,181 183,933 224,807 551,799 674,421 1,655,397 2,023,263 6,069,789 18,209,367

Collatz Trajectory (244 steps to reach 1)

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

18,209,367 54,628,102 27,314,051 81,942,154 40,971,077 122,913,232 61,456,616 30,728,308 15,364,154 7,682,077 23,046,232 11,523,116 5,761,558 2,880,779 8,642,338 4,321,169 12,963,508 6,481,754 3,240,877 9,722,632 4,861,316 2,430,658 1,215,329 3,645,988 1,822,994 911,497 2,734,492 1,367,246 683,623 2,050,870 1,025,435 3,076,306 1,538,153 4,614,460 2,307,230 1,153,615 3,460,846 1,730,423 5,191,270 2,595,635 7,786,906 3,893,453 11,680,360 5,840,180 2,920,090 1,460,045 4,380,136 2,190,068 1,095,034 547,517 1,642,552 821,276 410,638 205,319 615,958 307,979 923,938 461,969 1,385,908 692,954

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