λ
Harmonic Matrix

6,401,386

2 × 1063 × 3011
Deficient Even Composite

6,401,386 has digital root 1. The neighboring primes are 6401377 and 6401387; its proper-divisor sum differs from the starting integer by -3,188,468.

Prime Factor Structure

Factorization String 2 × 1063 × 3011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,614,304
Proper Divisor Sum 3,212,918
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6401377 ← → #6401387

Radix Representation

Decimal 6401386
Binary 11000011010110101101010 (23 bits)
Octal 0o30326552
Hexadecimal 0x61AD6A

Divisor Catalog (8)

1 2 1,063 2,126 3,011 6,022 3,200,693 6,401,386

Collatz Trajectory (95 steps to reach 1)

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

6,401,386 3,200,693 9,602,080 4,801,040 2,400,520 1,200,260 600,130 300,065 900,196 450,098 225,049 675,148 337,574 168,787 506,362 253,181 759,544 379,772 189,886 94,943 284,830 142,415 427,246 213,623 640,870 320,435 961,306 480,653 1,441,960 720,980 360,490 180,245 540,736 270,368 135,184 67,592 33,796 16,898 8,449 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129

More profiles

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