λ
Harmonic Matrix

6,784,498

2 × 7 × 484607
Deficient Even Composite

6,784,498 has digital root 1. The neighboring primes are 6784489 and 6784499; its proper-divisor sum differs from the starting integer by -1,938,404.

Prime Factor Structure

Factorization String 2 × 7 × 484607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,630,592
Proper Divisor Sum 4,846,094
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6784489 ← → #6784499

Radix Representation

Decimal 6784498
Binary 11001111000010111110010 (23 bits)
Octal 0o31702762
Hexadecimal 0x6785F2

Divisor Catalog (8)

1 2 7 14 484,607 969,214 3,392,249 6,784,498

Collatz Trajectory (253 steps to reach 1)

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

6,784,498 3,392,249 10,176,748 5,088,374 2,544,187 7,632,562 3,816,281 11,448,844 5,724,422 2,862,211 8,586,634 4,293,317 12,879,952 6,439,976 3,219,988 1,609,994 804,997 2,414,992 1,207,496 603,748 301,874 150,937 452,812 226,406 113,203 339,610 169,805 509,416 254,708 127,354 63,677 191,032 95,516 47,758 23,879 71,638 35,819 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036

More profiles

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