λ
Harmonic Matrix

8,441,092

22 × 11 × 19 × 23 × 439
Abundant Even Composite

8,441,092 has digital root 1. The neighboring primes are 8441089 and 8441099; its proper-divisor sum differs from the starting integer by 858,616.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 23 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,740,800
Proper Divisor Sum 9,299,708
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8441089 ← → #8441099

Radix Representation

Decimal 8441092
Binary 100000001100110100000100 (24 bits)
Octal 0o40146404
Hexadecimal 0x80CD04

Divisor Catalog (48)

1 2 4 11 19 22 23 38 44 46 76 92 209 253 418 437 439 506 836 874 878 1,012 1,748 1,756 4,807 4,829 8,341 9,614 9,658 10,097 16,682 19,228 19,316 20,194 33,364 40,388 91,751 111,067 183,502 191,843 222,134 367,004 383,686 444,268 767,372 2,110,273 4,220,546 8,441,092

Collatz Trajectory (168 steps to reach 1)

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

8,441,092 4,220,546 2,110,273 6,330,820 3,165,410 1,582,705 4,748,116 2,374,058 1,187,029 3,561,088 1,780,544 890,272 445,136 222,568 111,284 55,642 27,821 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

More profiles

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