λ
Sigma Notebook

9,498,736

24 × 13 × 45667
Abundant Even Composite

9,498,736 is even and not a perfect square. Its factorization is 2^4 × 13 × 45667 and its 20 divisors sum to 19,819,912.

Prime Factor Structure

Factorization String 2^4 × 13 × 45667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,819,912
Proper Divisor Sum 10,321,176
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9498719 ← → #9498739

Radix Representation

Decimal 9498736
Binary 100100001111000001110000 (24 bits)
Octal 0o44170160
Hexadecimal 0x90F070

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 45,667 91,334 182,668 365,336 593,671 730,672 1,187,342 2,374,684 4,749,368 9,498,736

Collatz Trajectory (101 steps to reach 1)

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

9,498,736 4,749,368 2,374,684 1,187,342 593,671 1,781,014 890,507 2,671,522 1,335,761 4,007,284 2,003,642 1,001,821 3,005,464 1,502,732 751,366 375,683 1,127,050 563,525 1,690,576 845,288 422,644 211,322 105,661 316,984 158,492 79,246 39,623 118,870 59,435 178,306 89,153 267,460 133,730 66,865 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262

More profiles

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