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Atlas › Integer Profiles › Node 3,691,386

3,691,386

2 × 33 × 197 × 347
Abundant Even Composite

3,691,386 factors as 2 × 3^3 × 197 × 347. Its 32 positive divisors give a proper-divisor sum of 4,577,094, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 197 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,268,480
Proper Divisor Sum 4,577,094
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3691367 ← → #3691403

Radix Representation

Decimal 3691386
Binary 1110000101001101111010 (22 bits)
Octal 0o16051572
Hexadecimal 0x38537A

Divisor Catalog (32)

1 2 3 6 9 18 27 54 197 347 394 591 694 1,041 1,182 1,773 2,082 3,123 3,546 5,319 6,246 9,369 10,638 18,738 68,359 136,718 205,077 410,154 615,231 1,230,462 1,845,693 3,691,386

Collatz Trajectory (234 steps to reach 1)

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

3,691,386 1,845,693 5,537,080 2,768,540 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908 2,627,954 1,313,977 3,941,932 1,970,966 985,483 2,956,450 1,478,225 4,434,676 2,217,338 1,108,669 3,326,008 1,663,004 831,502 415,751 1,247,254 623,627 1,870,882 935,441 2,806,324 1,403,162 701,581 2,104,744 1,052,372 526,186 263,093 789,280 394,640 197,320 98,660 49,330 24,665 73,996 36,998 18,499 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416

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