λ
Harmonic Matrix

6,771,023

7 × 967289
Deficient Odd Composite

6,771,023 has digital root 8. The neighboring primes are 6771001 and 6771041; its proper-divisor sum differs from the starting integer by -5,803,726.

Prime Factor Structure

Factorization String 7 × 967289
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,738,320
Proper Divisor Sum 967,297
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6771001 ← → #6771041

Radix Representation

Decimal 6771023
Binary 11001110101000101001111 (23 bits)
Octal 0o31650517
Hexadecimal 0x67514F

Divisor Catalog (4)

1 7 967,289 6,771,023

Collatz Trajectory (147 steps to reach 1)

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

6,771,023 20,313,070 10,156,535 30,469,606 15,234,803 45,704,410 22,852,205 68,556,616 34,278,308 17,139,154 8,569,577 25,708,732 12,854,366 6,427,183 19,281,550 9,640,775 28,922,326 14,461,163 43,383,490 21,691,745 65,075,236 32,537,618 16,268,809 48,806,428 24,403,214 12,201,607 36,604,822 18,302,411 54,907,234 27,453,617 82,360,852 41,180,426 20,590,213 61,770,640 30,885,320 15,442,660 7,721,330 3,860,665 11,581,996 5,790,998 2,895,499 8,686,498 4,343,249 13,029,748 6,514,874 3,257,437 9,772,312 4,886,156 2,443,078 1,221,539 3,664,618 1,832,309 5,496,928 2,748,464 1,374,232 687,116 343,558 171,779 515,338 257,669

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