λ
Harmonic Matrix

6,405,804

22 × 34 × 17 × 1163
Abundant Even Composite

6,405,804 has digital root 9. The neighboring primes are 6405797 and 6405811; its proper-divisor sum differs from the starting integer by 4,934,736.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 17 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,746,344
Proper Divisor Sum 11,340,540
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6405797 ← → #6405811

Radix Representation

Decimal 6405804
Binary 11000011011111010101100 (23 bits)
Octal 0o30337254
Hexadecimal 0x61BEAC

Divisor Catalog (60)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1,163 1,377 1,836 2,326 2,754 3,489 4,652 5,508 6,978 10,467 13,956 19,771 20,934 31,401 39,542 41,868 59,313 62,802 79,084 94,203 118,626 125,604 177,939 188,406 237,252 355,878 376,812 533,817 711,756 1,067,634 1,601,451 2,135,268 3,202,902 6,405,804

Collatz Trajectory (152 steps to reach 1)

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

6,405,804 3,202,902 1,601,451 4,804,354 2,402,177 7,206,532 3,603,266 1,801,633 5,404,900 2,702,450 1,351,225 4,053,676 2,026,838 1,013,419 3,040,258 1,520,129 4,560,388 2,280,194 1,140,097 3,420,292 1,710,146 855,073 2,565,220 1,282,610 641,305 1,923,916 961,958 480,979 1,442,938 721,469 2,164,408 1,082,204 541,102 270,551 811,654 405,827 1,217,482 608,741 1,826,224 913,112 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630

More profiles

← Previous Integer #6,405,803 Browse Full Index Next Integer #6,405,805 →