λ
Harmonic Matrix

6,216,940

22 × 5 × 43 × 7229
Abundant Even Composite

6,216,940 has digital root 1. The neighboring primes are 6216929 and 6216943; its proper-divisor sum differs from the starting integer by 927,160.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 7229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,361,040
Proper Divisor Sum 7,144,100
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6216929 ← → #6216943

Radix Representation

Decimal 6216940
Binary 10111101101110011101100 (23 bits)
Octal 0o27556354
Hexadecimal 0x5EDCEC

Divisor Catalog (24)

1 2 4 5 10 20 43 86 172 215 430 860 7,229 14,458 28,916 36,145 72,290 144,580 310,847 621,694 1,243,388 1,554,235 3,108,470 6,216,940

Collatz Trajectory (134 steps to reach 1)

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

6,216,940 3,108,470 1,554,235 4,662,706 2,331,353 6,994,060 3,497,030 1,748,515 5,245,546 2,622,773 7,868,320 3,934,160 1,967,080 983,540 491,770 245,885 737,656 368,828 184,414 92,207 276,622 138,311 414,934 207,467 622,402 311,201 933,604 466,802 233,401 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157 93,472 46,736 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574

More profiles

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