λ
Harmonic Matrix

6,780,921

3 × 7 × 322901
Deficient Odd Composite

6,780,921 has digital root 6. The neighboring primes are 6780913 and 6780931; its proper-divisor sum differs from the starting integer by -3,228,978.

Prime Factor Structure

Factorization String 3 × 7 × 322901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,332,864
Proper Divisor Sum 3,551,943
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6780913 ← → #6780931

Radix Representation

Decimal 6780921
Binary 11001110111011111111001 (23 bits)
Octal 0o31673771
Hexadecimal 0x6777F9

Divisor Catalog (8)

1 3 7 21 322,901 968,703 2,260,307 6,780,921

Collatz Trajectory (134 steps to reach 1)

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

6,780,921 20,342,764 10,171,382 5,085,691 15,257,074 7,628,537 22,885,612 11,442,806 5,721,403 17,164,210 8,582,105 25,746,316 12,873,158 6,436,579 19,309,738 9,654,869 28,964,608 14,482,304 7,241,152 3,620,576 1,810,288 905,144 452,572 226,286 113,143 339,430 169,715 509,146 254,573 763,720 381,860 190,930 95,465 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856 135,928 67,964 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064

More profiles

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