λ
Ratio Atlas

6,703,722

2 × 34 × 41381
Abundant Even Composite

6,703,722 factors as 2 × 3^4 × 41381. Its 20 positive divisors give a proper-divisor sum of 8,317,944, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 41381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,021,666
Proper Divisor Sum 8,317,944
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6703721 ← → #6703759

Radix Representation

Decimal 6703722
Binary 11001100100101001101010 (23 bits)
Octal 0o31445152
Hexadecimal 0x664A6A

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 41,381 82,762 124,143 248,286 372,429 744,858 1,117,287 2,234,574 3,351,861 6,703,722

Collatz Trajectory (85 steps to reach 1)

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

6,703,722 3,351,861 10,055,584 5,027,792 2,513,896 1,256,948 628,474 314,237 942,712 471,356 235,678 117,839 353,518 176,759 530,278 265,139 795,418 397,709 1,193,128 596,564 298,282 149,141 447,424 223,712 111,856 55,928 27,964 13,982 6,991 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197

More profiles

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