λ
Harmonic Matrix

6,764,972

22 × 1691243
Deficient Even Composite

6,764,972 has digital root 5. The neighboring primes are 6764941 and 6764977; its proper-divisor sum differs from the starting integer by -1,691,236.

Prime Factor Structure

Factorization String 2^2 × 1691243
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,838,708
Proper Divisor Sum 5,073,736
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6764941 ← → #6764977

Radix Representation

Decimal 6764972
Binary 11001110011100110101100 (23 bits)
Octal 0o31634654
Hexadecimal 0x6739AC

Divisor Catalog (6)

1 2 4 1,691,243 3,382,486 6,764,972

Collatz Trajectory (134 steps to reach 1)

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

6,764,972 3,382,486 1,691,243 5,073,730 2,536,865 7,610,596 3,805,298 1,902,649 5,707,948 2,853,974 1,426,987 4,280,962 2,140,481 6,421,444 3,210,722 1,605,361 4,816,084 2,408,042 1,204,021 3,612,064 1,806,032 903,016 451,508 225,754 112,877 338,632 169,316 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920

More profiles

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