λ
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Atlas › Integer Profiles › Node 6,740,702

6,740,702

2 × 23 × 29 × 31 × 163
Deficient Even Composite

6,740,702 factors as 2 × 23 × 29 × 31 × 163. Its 32 positive divisors give a proper-divisor sum of 4,594,978, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 31 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,335,680
Proper Divisor Sum 4,594,978
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6740659 ← → #6740707

Radix Representation

Decimal 6740702
Binary 11001101101101011011110 (23 bits)
Octal 0o31555336
Hexadecimal 0x66DADE

Divisor Catalog (32)

1 2 23 29 31 46 58 62 163 326 667 713 899 1,334 1,426 1,798 3,749 4,727 5,053 7,498 9,454 10,106 20,677 41,354 108,721 116,219 146,537 217,442 232,438 293,074 3,370,351 6,740,702

Collatz Trajectory (245 steps to reach 1)

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

6,740,702 3,370,351 10,111,054 5,055,527 15,166,582 7,583,291 22,749,874 11,374,937 34,124,812 17,062,406 8,531,203 25,593,610 12,796,805 38,390,416 19,195,208 9,597,604 4,798,802 2,399,401 7,198,204 3,599,102 1,799,551 5,398,654 2,699,327 8,097,982 4,048,991 12,146,974 6,073,487 18,220,462 9,110,231 27,330,694 13,665,347 40,996,042 20,498,021 61,494,064 30,747,032 15,373,516 7,686,758 3,843,379 11,530,138 5,765,069 17,295,208 8,647,604 4,323,802 2,161,901 6,485,704 3,242,852 1,621,426 810,713 2,432,140 1,216,070 608,035 1,824,106 912,053 2,736,160 1,368,080 684,040 342,020 171,010 85,505 256,516

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