λ
Harmonic Matrix

2,641,889

2641889
Deficient Odd Prime

2,641,889 has digital root 2. The neighboring primes are 2641879 and 2641901; its proper-divisor sum differs from the starting integer by -2,641,888.

Prime Factor Structure

Factorization String 2641889
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,641,890
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2641879 ← → #2641901

Radix Representation

Decimal 2641889
Binary 1010000100111111100001 (22 bits)
Octal 0o12047741
Hexadecimal 0x284FE1

Divisor Catalog (2)

Collatz Trajectory (293 steps to reach 1)

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

2,641,889 7,925,668 3,962,834 1,981,417 5,944,252 2,972,126 1,486,063 4,458,190 2,229,095 6,687,286 3,343,643 10,030,930 5,015,465 15,046,396 7,523,198 3,761,599 11,284,798 5,642,399 16,927,198 8,463,599 25,390,798 12,695,399 38,086,198 19,043,099 57,129,298 28,564,649 85,693,948 42,846,974 21,423,487 64,270,462 32,135,231 96,405,694 48,202,847 144,608,542 72,304,271 216,912,814 108,456,407 325,369,222 162,684,611 488,053,834 244,026,917 732,080,752 366,040,376 183,020,188 91,510,094 45,755,047 137,265,142 68,632,571 205,897,714 102,948,857 308,846,572 154,423,286 77,211,643 231,634,930 115,817,465 347,452,396 173,726,198 86,863,099 260,589,298 130,294,649

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