λ
Harmonic Matrix

2,989,838

2 × 883 × 1693
Deficient Even Composite

2,989,838 has digital root 2. The neighboring primes are 2989823 and 2989849; its proper-divisor sum differs from the starting integer by -1,487,188.

Prime Factor Structure

Factorization String 2 × 883 × 1693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,492,488
Proper Divisor Sum 1,502,650
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #2989823 ← → #2989849

Radix Representation

Decimal 2989838
Binary 1011011001111100001110 (22 bits)
Octal 0o13317416
Hexadecimal 0x2D9F0E

Divisor Catalog (8)

1 2 883 1,693 1,766 3,386 1,494,919 2,989,838

Collatz Trajectory (226 steps to reach 1)

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

2,989,838 1,494,919 4,484,758 2,242,379 6,727,138 3,363,569 10,090,708 5,045,354 2,522,677 7,568,032 3,784,016 1,892,008 946,004 473,002 236,501 709,504 354,752 177,376 88,688 44,344 22,172 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166

More profiles

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