λ
Harmonic Matrix

6,336,398

2 × 37 × 85627
Deficient Even Composite

6,336,398 has digital root 2. The neighboring primes are 6336389 and 6336403; its proper-divisor sum differs from the starting integer by -2,911,204.

Prime Factor Structure

Factorization String 2 × 37 × 85627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,761,592
Proper Divisor Sum 3,425,194
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6336389 ← → #6336403

Radix Representation

Decimal 6336398
Binary 11000001010111110001110 (23 bits)
Octal 0o30127616
Hexadecimal 0x60AF8E

Divisor Catalog (8)

1 2 37 74 85,627 171,254 3,168,199 6,336,398

Collatz Trajectory (152 steps to reach 1)

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

6,336,398 3,168,199 9,504,598 4,752,299 14,256,898 7,128,449 21,385,348 10,692,674 5,346,337 16,039,012 8,019,506 4,009,753 12,029,260 6,014,630 3,007,315 9,021,946 4,510,973 13,532,920 6,766,460 3,383,230 1,691,615 5,074,846 2,537,423 7,612,270 3,806,135 11,418,406 5,709,203 17,127,610 8,563,805 25,691,416 12,845,708 6,422,854 3,211,427 9,634,282 4,817,141 14,451,424 7,225,712 3,612,856 1,806,428 903,214 451,607 1,354,822 677,411 2,032,234 1,016,117 3,048,352 1,524,176 762,088 381,044 190,522 95,261 285,784 142,892 71,446 35,723 107,170 53,585 160,756 80,378 40,189

More profiles

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