λ
Harmonic Matrix

2,841,054

2 × 3 × 41 × 11549
Abundant Even Composite

2,841,054 has digital root 6. The neighboring primes are 2841031 and 2841067; its proper-divisor sum differs from the starting integer by 139,092.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 11549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,821,200
Proper Divisor Sum 2,980,146
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2841031 ← → #2841067

Radix Representation

Decimal 2841054
Binary 1010110101100111011110 (22 bits)
Octal 0o12654736
Hexadecimal 0x2B59DE

Divisor Catalog (16)

1 2 3 6 41 82 123 246 11,549 23,098 34,647 69,294 473,509 947,018 1,420,527 2,841,054

Collatz Trajectory (244 steps to reach 1)

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

2,841,054 1,420,527 4,261,582 2,130,791 6,392,374 3,196,187 9,588,562 4,794,281 14,382,844 7,191,422 3,595,711 10,787,134 5,393,567 16,180,702 8,090,351 24,271,054 12,135,527 36,406,582 18,203,291 54,609,874 27,304,937 81,914,812 40,957,406 20,478,703 61,436,110 30,718,055 92,154,166 46,077,083 138,231,250 69,115,625 207,346,876 103,673,438 51,836,719 155,510,158 77,755,079 233,265,238 116,632,619 349,897,858 174,948,929 524,846,788 262,423,394 131,211,697 393,635,092 196,817,546 98,408,773 295,226,320 147,613,160 73,806,580 36,903,290 18,451,645 55,354,936 27,677,468 13,838,734 6,919,367 20,758,102 10,379,051 31,137,154 15,568,577 46,705,732 23,352,866

More profiles

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