λ
Harmonic Matrix

6,189,909

3 × 11 × 187573
Deficient Odd Composite

6,189,909 has digital root 6. The neighboring primes are 6189901 and 6189913; its proper-divisor sum differs from the starting integer by -3,376,266.

Prime Factor Structure

Factorization String 3 × 11 × 187573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,003,552
Proper Divisor Sum 2,813,643
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6189901 ← → #6189913

Radix Representation

Decimal 6189909
Binary 10111100111001101010101 (23 bits)
Octal 0o27471525
Hexadecimal 0x5E7355

Divisor Catalog (8)

1 3 11 33 187,573 562,719 2,063,303 6,189,909

Collatz Trajectory (59 steps to reach 1)

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

6,189,909 18,569,728 9,284,864 4,642,432 2,321,216 1,160,608 580,304 290,152 145,076 72,538 36,269 108,808 54,404 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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