λ
Harmonic Matrix

2,979,836

22 × 744959
Deficient Even Composite

2,979,836 has digital root 8. The neighboring primes are 2979833 and 2979841; its proper-divisor sum differs from the starting integer by -744,952.

Prime Factor Structure

Factorization String 2^2 × 744959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,214,720
Proper Divisor Sum 2,234,884
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2979833 ← → #2979841

Radix Representation

Decimal 2979836
Binary 1011010111011111111100 (22 bits)
Octal 0o13273774
Hexadecimal 0x2D77FC

Divisor Catalog (6)

1 2 4 744,959 1,489,918 2,979,836

Collatz Trajectory (125 steps to reach 1)

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

2,979,836 1,489,918 744,959 2,234,878 1,117,439 3,352,318 1,676,159 5,028,478 2,514,239 7,542,718 3,771,359 11,314,078 5,657,039 16,971,118 8,485,559 25,456,678 12,728,339 38,185,018 19,092,509 57,277,528 28,638,764 14,319,382 7,159,691 21,479,074 10,739,537 32,218,612 16,109,306 8,054,653 24,163,960 12,081,980 6,040,990 3,020,495 9,061,486 4,530,743 13,592,230 6,796,115 20,388,346 10,194,173 30,582,520 15,291,260 7,645,630 3,822,815 11,468,446 5,734,223 17,202,670 8,601,335 25,804,006 12,902,003 38,706,010 19,353,005 58,059,016 29,029,508 14,514,754 7,257,377 21,772,132 10,886,066 5,443,033 16,329,100 8,164,550 4,082,275

More profiles

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