λ
Harmonic Matrix

6,418,418

2 × 17 × 311 × 607
Deficient Even Composite

6,418,418 has digital root 5. The neighboring primes are 6418417 and 6418429; its proper-divisor sum differs from the starting integer by -2,593,252.

Prime Factor Structure

Factorization String 2 × 17 × 311 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,243,584
Proper Divisor Sum 3,825,166
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6418417 ← → #6418429

Radix Representation

Decimal 6418418
Binary 11000011110111111110010 (23 bits)
Octal 0o30367762
Hexadecimal 0x61EFF2

Divisor Catalog (16)

1 2 17 34 311 607 622 1,214 5,287 10,319 10,574 20,638 188,777 377,554 3,209,209 6,418,418

Collatz Trajectory (95 steps to reach 1)

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

6,418,418 3,209,209 9,627,628 4,813,814 2,406,907 7,220,722 3,610,361 10,831,084 5,415,542 2,707,771 8,123,314 4,061,657 12,184,972 6,092,486 3,046,243 9,138,730 4,569,365 13,708,096 6,854,048 3,427,024 1,713,512 856,756 428,378 214,189 642,568 321,284 160,642 80,321 240,964 120,482 60,241 180,724 90,362 45,181 135,544 67,772 33,886 16,943 50,830 25,415 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276

More profiles

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