λ
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9,506,208

25 × 3 × 99023
Abundant Even Composite

9,506,208 factors as 2^5 × 3 × 99023. Its 24 positive divisors give a proper-divisor sum of 15,447,840, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 99023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,954,048
Proper Divisor Sum 15,447,840
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9506207 ← → #9506249

Radix Representation

Decimal 9506208
Binary 100100010000110110100000 (24 bits)
Octal 0o44206640
Hexadecimal 0x910DA0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 99,023 198,046 297,069 396,092 594,138 792,184 1,188,276 1,584,368 2,376,552 3,168,736 4,753,104 9,506,208

Collatz Trajectory (75 steps to reach 1)

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

9,506,208 4,753,104 2,376,552 1,188,276 594,138 297,069 891,208 445,604 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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