λ
Harmonic Matrix

448,306

2 × 224153
Deficient Even Composite

448,306 has digital root 7. The neighboring primes are 448303 and 448309; its proper-divisor sum differs from the starting integer by -224,150.

Prime Factor Structure

Factorization String 2 × 224153
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 672,462
Proper Divisor Sum 224,156
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #448303 ← → #448309

Radix Representation

Decimal 448306
Binary 1101101011100110010 (19 bits)
Octal 0o1553462
Hexadecimal 0x6D732

Divisor Catalog (4)

1 2 224,153 448,306

Collatz Trajectory (187 steps to reach 1)

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

448,306 224,153 672,460 336,230 168,115 504,346 252,173 756,520 378,260 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069

More profiles

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