448,322

2 × 7 × 31 × 1033

448,322 has digital root 5. The neighboring primes are 448321 and 448351; its proper-divisor sum differs from the starting integer by -102,532.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 1033

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 794,112

Proper Divisor Sum 345,790

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #448321 ← → #448351

Radix Representation

Decimal	448322
Binary	1101101011101000010 (19 bits)
Octal	0o1553502
Hexadecimal	0x6D742

Divisor Catalog (16)

1 2 7 14 31 62 217 434 1,033 2,066 7,231 14,462 32,023 64,046 224,161 448,322

Collatz Trajectory (112 steps to reach 1)

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

448,322 224,161 672,484 336,242 168,121 504,364 252,182 126,091 378,274 189,137 567,412 283,706 141,853 425,560 212,780 106,390 53,195 159,586 79,793 239,380 119,690 59,845 179,536 89,768 44,884 22,442 11,221 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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