λ
Harmonic Matrix

265,412

22 × 7 × 9479
Abundant Even Composite

265,412 has digital root 2. The neighboring primes are 265403 and 265417; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 9479
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 530,880
Proper Divisor Sum 265,468
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #265403 ← → #265417

Radix Representation

Decimal 265412
Binary 1000000110011000100 (19 bits)
Octal 0o1006304
Hexadecimal 0x40CC4

Divisor Catalog (12)

1 2 4 7 14 28 9,479 18,958 37,916 66,353 132,706 265,412

Collatz Trajectory (145 steps to reach 1)

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

265,412 132,706 66,353 199,060 99,530 49,765 149,296 74,648 37,324 18,662 9,331 27,994 13,997 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668

More profiles

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