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Atlas › Integer Profiles › Node 6,967,940

6,967,940

22 × 5 × 7 × 71 × 701
Abundant Even Composite

6,967,940 factors as 2^2 × 5 × 7 × 71 × 701. Its 48 positive divisors give a proper-divisor sum of 10,014,844, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 71 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,982,784
Proper Divisor Sum 10,014,844
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6967937 ← → #6967949

Radix Representation

Decimal 6967940
Binary 11010100101001010000100 (23 bits)
Octal 0o32451204
Hexadecimal 0x6A5284

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 701 710 994 1,402 1,420 1,988 2,485 2,804 3,505 4,907 4,970 7,010 9,814 9,940 14,020 19,628 24,535 49,070 49,771 98,140 99,542 199,084 248,855 348,397 497,710 696,794 995,420 1,393,588 1,741,985 3,483,970 6,967,940

Collatz Trajectory (147 steps to reach 1)

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

6,967,940 3,483,970 1,741,985 5,225,956 2,612,978 1,306,489 3,919,468 1,959,734 979,867 2,939,602 1,469,801 4,409,404 2,204,702 1,102,351 3,307,054 1,653,527 4,960,582 2,480,291 7,440,874 3,720,437 11,161,312 5,580,656 2,790,328 1,395,164 697,582 348,791 1,046,374 523,187 1,569,562 784,781 2,354,344 1,177,172 588,586 294,293 882,880 441,440 220,720 110,360 55,180 27,590 13,795 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206

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