λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,628,362

9,628,362

2 × 33 × 37 × 61 × 79
Abundant Even Composite

9,628,362 factors as 2 × 3^3 × 37 × 61 × 79. Its 64 positive divisors give a proper-divisor sum of 12,989,238, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 61 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,617,600
Proper Divisor Sum 12,989,238
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9628361 ← → #9628393

Radix Representation

Decimal 9628362
Binary 100100101110101011001010 (24 bits)
Octal 0o44565312
Hexadecimal 0x92EACA

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 37 54 61 74 79 111 122 158 183 222 237 333 366 474 549 666 711 999 1,098 1,422 1,647 1,998 2,133 2,257 2,923 3,294 4,266 4,514 4,819 5,846 6,771 8,769 9,638 13,542 14,457 17,538 20,313 26,307 28,914 40,626 43,371 52,614 60,939 78,921 86,742 121,878 130,113 157,842 178,303 260,226 356,606 534,909 1,069,818

Collatz Trajectory (119 steps to reach 1)

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

9,628,362 4,814,181 14,442,544 7,221,272 3,610,636 1,805,318 902,659 2,707,978 1,353,989 4,061,968 2,030,984 1,015,492 507,746 253,873 761,620 380,810 190,405 571,216 285,608 142,804 71,402 35,701 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,628,361 Browse Full Index Next Integer #9,628,363 →