8,948,208

2⁴ × 3 × 277 × 673

8,948,208 has the prime decomposition 2^4 × 3 × 277 × 673. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 277 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 23,234,128

Proper Divisor Sum 14,285,920

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8948207 ← → #8948227

Radix Representation

Decimal	8948208
Binary	100010001000100111110000 (24 bits)
Octal	0o42104760
Hexadecimal	0x8889F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 277 554 673 831 1,108 1,346 1,662 2,019 2,216 2,692 3,324 4,038 4,432 5,384 6,648 8,076 10,768 13,296 16,152 32,304 186,421 372,842 559,263 745,684 1,118,526 1,491,368 2,237,052 2,982,736 4,474,104 8,948,208

Collatz Trajectory (163 steps to reach 1)

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

8,948,208 4,474,104 2,237,052 1,118,526 559,263 1,677,790 838,895 2,516,686 1,258,343 3,775,030 1,887,515 5,662,546 2,831,273 8,493,820 4,246,910 2,123,455 6,370,366 3,185,183 9,555,550 4,777,775 14,333,326 7,166,663 21,499,990 10,749,995 32,249,986 16,124,993 48,374,980 24,187,490 12,093,745 36,281,236 18,140,618 9,070,309 27,210,928 13,605,464 6,802,732 3,401,366 1,700,683 5,102,050 2,551,025 7,653,076 3,826,538 1,913,269 5,739,808 2,869,904 1,434,952 717,476 358,738 179,369 538,108 269,054 134,527 403,582 201,791 605,374 302,687 908,062 454,031 1,362,094 681,047 2,043,142

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