6,627,248

2⁴ × 414203

6,627,248 factors as 2^4 × 414203. Its 10 positive divisors give a proper-divisor sum of 6,213,076, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 414203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 12,840,324

Proper Divisor Sum 6,213,076

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6627217 ← → #6627251

Radix Representation

Decimal	6627248
Binary	11001010001111110110000 (23 bits)
Octal	0o31217660
Hexadecimal	0x651FB0

Divisor Catalog (10)

1 2 4 8 16 414,203 828,406 1,656,812 3,313,624 6,627,248

Collatz Trajectory (209 steps to reach 1)

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

6,627,248 3,313,624 1,656,812 828,406 414,203 1,242,610 621,305 1,863,916 931,958 465,979 1,397,938 698,969 2,096,908 1,048,454 524,227 1,572,682 786,341 2,359,024 1,179,512 589,756 294,878 147,439 442,318 221,159 663,478 331,739 995,218 497,609 1,492,828 746,414 373,207 1,119,622 559,811 1,679,434 839,717 2,519,152 1,259,576 629,788 314,894 157,447 472,342 236,171 708,514 354,257 1,062,772 531,386 265,693 797,080 398,540 199,270 99,635 298,906 149,453 448,360 224,180 112,090 56,045 168,136 84,068 42,034

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