8,627,248

2⁴ × 7 × 77029

8,627,248 is even and not a perfect square. Its factorization is 2^4 × 7 × 77029 and its 20 divisors sum to 19,103,440.

Prime Factor Structure

Factorization String 2^4 × 7 × 77029

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,103,440

Proper Divisor Sum 10,476,192

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8627243 ← → #8627251

Radix Representation

Decimal	8627248
Binary	100000111010010000110000 (24 bits)
Octal	0o40722060
Hexadecimal	0x83A430

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 77,029 154,058 308,116 539,203 616,232 1,078,406 1,232,464 2,156,812 4,313,624 8,627,248

Collatz Trajectory (75 steps to reach 1)

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

8,627,248 4,313,624 2,156,812 1,078,406 539,203 1,617,610 808,805 2,426,416 1,213,208 606,604 303,302 151,651 454,954 227,477 682,432 341,216 170,608 85,304 42,652 21,326 10,663 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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