λ
Sigma Notebook

7,028,073

33 × 13 × 20023
Deficient Odd Composite

7,028,073 is odd and not a perfect square. Its factorization is 3^3 × 13 × 20023 and its 16 divisors sum to 11,213,440.

Prime Factor Structure

Factorization String 3^3 × 13 × 20023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,213,440
Proper Divisor Sum 4,185,367
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7028069 ← → #7028093

Radix Representation

Decimal 7028073
Binary 11010110011110101101001 (23 bits)
Octal 0o32636551
Hexadecimal 0x6B3D69

Divisor Catalog (16)

1 3 9 13 27 39 117 351 20,023 60,069 180,207 260,299 540,621 780,897 2,342,691 7,028,073

Collatz Trajectory (160 steps to reach 1)

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

7,028,073 21,084,220 10,542,110 5,271,055 15,813,166 7,906,583 23,719,750 11,859,875 35,579,626 17,789,813 53,369,440 26,684,720 13,342,360 6,671,180 3,335,590 1,667,795 5,003,386 2,501,693 7,505,080 3,752,540 1,876,270 938,135 2,814,406 1,407,203 4,221,610 2,110,805 6,332,416 3,166,208 1,583,104 791,552 395,776 197,888 98,944 49,472 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

More profiles

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