λ
Harmonic Matrix

6,738,421

1321 × 5101
Deficient Odd Composite

6,738,421 has digital root 4. The neighboring primes are 6738419 and 6738427; its proper-divisor sum differs from the starting integer by -6,731,998.

Prime Factor Structure

Factorization String 1321 × 5101
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,744,844
Proper Divisor Sum 6,423
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6738419 ← → #6738427

Radix Representation

Decimal 6738421
Binary 11001101101000111110101 (23 bits)
Octal 0o31550765
Hexadecimal 0x66D1F5

Divisor Catalog (4)

1 1,321 5,101 6,738,421

Collatz Trajectory (85 steps to reach 1)

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

6,738,421 20,215,264 10,107,632 5,053,816 2,526,908 1,263,454 631,727 1,895,182 947,591 2,842,774 1,421,387 4,264,162 2,132,081 6,396,244 3,198,122 1,599,061 4,797,184 2,398,592 1,199,296 599,648 299,824 149,912 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

More profiles

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