λ
Harmonic Matrix

6,209,438

2 × 409 × 7591
Deficient Even Composite

6,209,438 has digital root 5. The neighboring primes are 6209431 and 6209443; its proper-divisor sum differs from the starting integer by -3,080,716.

Prime Factor Structure

Factorization String 2 × 409 × 7591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,338,160
Proper Divisor Sum 3,128,722
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6209431 ← → #6209443

Radix Representation

Decimal 6209438
Binary 10111101011111110011110 (23 bits)
Octal 0o27537636
Hexadecimal 0x5EBF9E

Divisor Catalog (8)

1 2 409 818 7,591 15,182 3,104,719 6,209,438

Collatz Trajectory (165 steps to reach 1)

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

6,209,438 3,104,719 9,314,158 4,657,079 13,971,238 6,985,619 20,956,858 10,478,429 31,435,288 15,717,644 7,858,822 3,929,411 11,788,234 5,894,117 17,682,352 8,841,176 4,420,588 2,210,294 1,105,147 3,315,442 1,657,721 4,973,164 2,486,582 1,243,291 3,729,874 1,864,937 5,594,812 2,797,406 1,398,703 4,196,110 2,098,055 6,294,166 3,147,083 9,441,250 4,720,625 14,161,876 7,080,938 3,540,469 10,621,408 5,310,704 2,655,352 1,327,676 663,838 331,919 995,758 497,879 1,493,638 746,819 2,240,458 1,120,229 3,360,688 1,680,344 840,172 420,086 210,043 630,130 315,065 945,196 472,598 236,299

More profiles

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