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Atlas › Integer Profiles › Node 6,941,382

6,941,382

2 × 3 × 7 × 29 × 41 × 139
Abundant Even Composite

6,941,382 factors as 2 × 3 × 7 × 29 × 41 × 139. Its 64 positive divisors give a proper-divisor sum of 9,993,018, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 41 × 139
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,934,400
Proper Divisor Sum 9,993,018
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6941381 ← → #6941387

Radix Representation

Decimal 6941382
Binary 11010011110101011000110 (23 bits)
Octal 0o32365306
Hexadecimal 0x69EAC6

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 29 41 42 58 82 87 123 139 174 203 246 278 287 406 417 574 609 834 861 973 1,189 1,218 1,722 1,946 2,378 2,919 3,567 4,031 5,699 5,838 7,134 8,062 8,323 11,398 12,093 16,646 17,097 24,186 24,969 28,217 34,194 39,893 49,938 56,434 79,786 84,651 119,679 165,271 169,302 239,358 330,542 495,813 991,626

Collatz Trajectory (98 steps to reach 1)

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

6,941,382 3,470,691 10,412,074 5,206,037 15,618,112 7,809,056 3,904,528 1,952,264 976,132 488,066 244,033 732,100 366,050 183,025 549,076 274,538 137,269 411,808 205,904 102,952 51,476 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228

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