λ
Ratio Atlas

9,245,796

22 × 3 × 7 × 110069
Abundant Even Composite

9,245,796 factors as 2^2 × 3 × 7 × 110069. Its 24 positive divisors give a proper-divisor sum of 15,409,884, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 110069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,655,680
Proper Divisor Sum 15,409,884
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9245791 ← → #9245813

Radix Representation

Decimal 9245796
Binary 100011010001010001100100 (24 bits)
Octal 0o43212144
Hexadecimal 0x8D1464

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 110,069 220,138 330,207 440,276 660,414 770,483 1,320,828 1,540,966 2,311,449 3,081,932 4,622,898 9,245,796

Collatz Trajectory (75 steps to reach 1)

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

9,245,796 4,622,898 2,311,449 6,934,348 3,467,174 1,733,587 5,200,762 2,600,381 7,801,144 3,900,572 1,950,286 975,143 2,925,430 1,462,715 4,388,146 2,194,073 6,582,220 3,291,110 1,645,555 4,936,666 2,468,333 7,405,000 3,702,500 1,851,250 925,625 2,776,876 1,388,438 694,219 2,082,658 1,041,329 3,123,988 1,561,994 780,997 2,342,992 1,171,496 585,748 292,874 146,437 439,312 219,656 109,828 54,914 27,457 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272

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