λ
Sequence Observatory

6,984,140

22 × 5 × 349207
Abundant Even Composite

Starting at 6,984,140, the Collatz iteration reaches 1 after 85 steps. The first transition is 3492070; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 349207
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,666,736
Proper Divisor Sum 7,682,596
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6984139 ← → #6984143

Radix Representation

Decimal 6984140
Binary 11010101001000111001100 (23 bits)
Octal 0o32510714
Hexadecimal 0x6A91CC

Divisor Catalog (12)

1 2 4 5 10 20 349,207 698,414 1,396,828 1,746,035 3,492,070 6,984,140

Collatz Trajectory (85 steps to reach 1)

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

6,984,140 3,492,070 1,746,035 5,238,106 2,619,053 7,857,160 3,928,580 1,964,290 982,145 2,946,436 1,473,218 736,609 2,209,828 1,104,914 552,457 1,657,372 828,686 414,343 1,243,030 621,515 1,864,546 932,273 2,796,820 1,398,410 699,205 2,097,616 1,048,808 524,404 262,202 131,101 393,304 196,652 98,326 49,163 147,490 73,745 221,236 110,618 55,309 165,928 82,964 41,482 20,741 62,224 31,112 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232

More profiles

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