λ
Harmonic Matrix

448,268

22 × 112067
Deficient Even Composite

448,268 has digital root 5. The neighboring primes are 448249 and 448303; its proper-divisor sum differs from the starting integer by -112,060.

Prime Factor Structure

Factorization String 2^2 × 112067
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 784,476
Proper Divisor Sum 336,208
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #448249 ← → #448303

Radix Representation

Decimal 448268
Binary 1101101011100001100 (19 bits)
Octal 0o1553414
Hexadecimal 0x6D70C

Divisor Catalog (6)

1 2 4 112,067 224,134 448,268

Collatz Trajectory (138 steps to reach 1)

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

448,268 224,134 112,067 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364

More profiles

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