λ
Prime Ledger

9,418,842

2 × 34 × 53 × 1097
Abundant Even Composite

9,418,842 has the prime decomposition 2 × 3^4 × 53 × 1097. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 53 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,522,996
Proper Divisor Sum 12,104,154
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9418841 ← → #9418873

Radix Representation

Decimal 9418842
Binary 100011111011100001011010 (24 bits)
Octal 0o43734132
Hexadecimal 0x8FB85A

Divisor Catalog (40)

1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1,097 1,431 2,194 2,862 3,291 4,293 6,582 8,586 9,873 19,746 29,619 58,141 59,238 88,857 116,282 174,423 177,714 348,846 523,269 1,046,538 1,569,807 3,139,614 4,709,421 9,418,842

Collatz Trajectory (101 steps to reach 1)

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

9,418,842 4,709,421 14,128,264 7,064,132 3,532,066 1,766,033 5,298,100 2,649,050 1,324,525 3,973,576 1,986,788 993,394 496,697 1,490,092 745,046 372,523 1,117,570 558,785 1,676,356 838,178 419,089 1,257,268 628,634 314,317 942,952 471,476 235,738 117,869 353,608 176,804 88,402 44,201 132,604 66,302 33,151 99,454 49,727 149,182 74,591 223,774 111,887 335,662 167,831 503,494 251,747 755,242 377,621 1,132,864 566,432 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958

More profiles

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