λ
Harmonic Matrix

6,759,351

32 × 331 × 2269
Deficient Odd Composite

6,759,351 has digital root 9. The neighboring primes are 6759343 and 6759359; its proper-divisor sum differs from the starting integer by -3,721,382.

Prime Factor Structure

Factorization String 3^2 × 331 × 2269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,797,320
Proper Divisor Sum 3,037,969
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6759343 ← → #6759359

Radix Representation

Decimal 6759351
Binary 11001110010001110110111 (23 bits)
Octal 0o31621667
Hexadecimal 0x6723B7

Divisor Catalog (12)

1 3 9 331 993 2,269 2,979 6,807 20,421 751,039 2,253,117 6,759,351

Collatz Trajectory (196 steps to reach 1)

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

6,759,351 20,278,054 10,139,027 30,417,082 15,208,541 45,625,624 22,812,812 11,406,406 5,703,203 17,109,610 8,554,805 25,664,416 12,832,208 6,416,104 3,208,052 1,604,026 802,013 2,406,040 1,203,020 601,510 300,755 902,266 451,133 1,353,400 676,700 338,350 169,175 507,526 253,763 761,290 380,645 1,141,936 570,968 285,484 142,742 71,371 214,114 107,057 321,172 160,586 80,293 240,880 120,440 60,220 30,110 15,055 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 38,110 19,055 57,166 28,583 85,750 42,875

More profiles

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