λ
Sigma Notebook

7,210,241

29 × 109 × 2281
Deficient Odd Composite

7,210,241 is odd and not a perfect square. Its factorization is 29 × 109 × 2281 and its 8 divisors sum to 7,530,600.

Prime Factor Structure

Factorization String 29 × 109 × 2281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,530,600
Proper Divisor Sum 320,359
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7210237 ← → #7210243

Radix Representation

Decimal 7210241
Binary 11011100000010100000001 (23 bits)
Octal 0o33402401
Hexadecimal 0x6E0501

Divisor Catalog (8)

1 29 109 2,281 3,161 66,149 248,629 7,210,241

Collatz Trajectory (90 steps to reach 1)

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

7,210,241 21,630,724 10,815,362 5,407,681 16,223,044 8,111,522 4,055,761 12,167,284 6,083,642 3,041,821 9,125,464 4,562,732 2,281,366 1,140,683 3,422,050 1,711,025 5,133,076 2,566,538 1,283,269 3,849,808 1,924,904 962,452 481,226 240,613 721,840 360,920 180,460 90,230 45,115 135,346 67,673 203,020 101,510 50,755 152,266 76,133 228,400 114,200 57,100 28,550 14,275 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624

More profiles

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