λ
Harmonic Matrix

8,531,641

241 × 35401
Deficient Odd Composite

8,531,641 has digital root 1. The neighboring primes are 8531639 and 8531647; its proper-divisor sum differs from the starting integer by -8,495,998.

Prime Factor Structure

Factorization String 241 × 35401
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,567,284
Proper Divisor Sum 35,643
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8531639 ← → #8531647

Radix Representation

Decimal 8531641
Binary 100000100010111010111001 (24 bits)
Octal 0o40427271
Hexadecimal 0x822EB9

Divisor Catalog (4)

1 241 35,401 8,531,641

Collatz Trajectory (199 steps to reach 1)

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

8,531,641 25,594,924 12,797,462 6,398,731 19,196,194 9,598,097 28,794,292 14,397,146 7,198,573 21,595,720 10,797,860 5,398,930 2,699,465 8,098,396 4,049,198 2,024,599 6,073,798 3,036,899 9,110,698 4,555,349 13,666,048 6,833,024 3,416,512 1,708,256 854,128 427,064 213,532 106,766 53,383 160,150 80,075 240,226 120,113 360,340 180,170 90,085 270,256 135,128 67,564 33,782 16,891 50,674 25,337 76,012 38,006 19,003 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020

More profiles

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