λ
Harmonic Matrix

2,443,966

2 × 7 × 174569
Deficient Even Composite

2,443,966 has digital root 7. The neighboring primes are 2443963 and 2443993; its proper-divisor sum differs from the starting integer by -698,252.

Prime Factor Structure

Factorization String 2 × 7 × 174569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,189,680
Proper Divisor Sum 1,745,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2443963 ← → #2443993

Radix Representation

Decimal 2443966
Binary 1001010100101010111110 (22 bits)
Octal 0o11245276
Hexadecimal 0x254ABE

Divisor Catalog (8)

1 2 7 14 174,569 349,138 1,221,983 2,443,966

Collatz Trajectory (112 steps to reach 1)

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

2,443,966 1,221,983 3,665,950 1,832,975 5,498,926 2,749,463 8,248,390 4,124,195 12,372,586 6,186,293 18,558,880 9,279,440 4,639,720 2,319,860 1,159,930 579,965 1,739,896 869,948 434,974 217,487 652,462 326,231 978,694 489,347 1,468,042 734,021 2,202,064 1,101,032 550,516 275,258 137,629 412,888 206,444 103,222 51,611 154,834 77,417 232,252 116,126 58,063 174,190 87,095 261,286 130,643 391,930 195,965 587,896 293,948 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008

More profiles

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