λ
Harmonic Matrix

3,244,194

2 × 32 × 180233
Abundant Even Composite

3,244,194 has digital root 9. The neighboring primes are 3244187 and 3244211; its proper-divisor sum differs from the starting integer by 540,738.

Prime Factor Structure

Factorization String 2 × 3^2 × 180233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,029,126
Proper Divisor Sum 3,784,932
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3244187 ← → #3244211

Radix Representation

Decimal 3244194
Binary 1100011000000010100010 (22 bits)
Octal 0o14300242
Hexadecimal 0x3180A2

Divisor Catalog (12)

1 2 3 6 9 18 180,233 360,466 540,699 1,081,398 1,622,097 3,244,194

Collatz Trajectory (89 steps to reach 1)

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

3,244,194 1,622,097 4,866,292 2,433,146 1,216,573 3,649,720 1,824,860 912,430 456,215 1,368,646 684,323 2,052,970 1,026,485 3,079,456 1,539,728 769,864 384,932 192,466 96,233 288,700 144,350 72,175 216,526 108,263 324,790 162,395 487,186 243,593 730,780 365,390 182,695 548,086 274,043 822,130 411,065 1,233,196 616,598 308,299 924,898 462,449 1,387,348 693,674 346,837 1,040,512 520,256 260,128 130,064 65,032 32,516 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430

More profiles

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