λ
Sequence Observatory

7,021,746

2 × 32 × 390097
Abundant Even Composite

Starting at 7,021,746, the Collatz iteration reaches 1 after 85 steps. The first transition is 3510873; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 390097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,213,822
Proper Divisor Sum 8,192,076
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7021723 ← → #7021759

Radix Representation

Decimal 7021746
Binary 11010110010010010110010 (23 bits)
Octal 0o32622262
Hexadecimal 0x6B24B2

Divisor Catalog (12)

1 2 3 6 9 18 390,097 780,194 1,170,291 2,340,582 3,510,873 7,021,746

Collatz Trajectory (85 steps to reach 1)

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

7,021,746 3,510,873 10,532,620 5,266,310 2,633,155 7,899,466 3,949,733 11,849,200 5,924,600 2,962,300 1,481,150 740,575 2,221,726 1,110,863 3,332,590 1,666,295 4,998,886 2,499,443 7,498,330 3,749,165 11,247,496 5,623,748 2,811,874 1,405,937 4,217,812 2,108,906 1,054,453 3,163,360 1,581,680 790,840 395,420 197,710 98,855 296,566 148,283 444,850 222,425 667,276 333,638 166,819 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424

More profiles

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