λ
Harmonic Matrix

6,440,646

2 × 3 × 1073441
Abundant Even Composite

6,440,646 has digital root 3. The neighboring primes are 6440641 and 6440647; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1073441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,881,304
Proper Divisor Sum 6,440,658
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6440641 ← → #6440647

Radix Representation

Decimal 6440646
Binary 11000100100011011000110 (23 bits)
Octal 0o30443306
Hexadecimal 0x6246C6

Divisor Catalog (8)

1 2 3 6 1,073,441 2,146,882 3,220,323 6,440,646

Collatz Trajectory (121 steps to reach 1)

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

6,440,646 3,220,323 9,660,970 4,830,485 14,491,456 7,245,728 3,622,864 1,811,432 905,716 452,858 226,429 679,288 339,644 169,822 84,911 254,734 127,367 382,102 191,051 573,154 286,577 859,732 429,866 214,933 644,800 322,400 161,200 80,600 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135

More profiles

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