λ
Sequence Observatory

8,210,778

2 × 3 × 1368463
Abundant Even Composite

Starting at 8,210,778, the Collatz iteration reaches 1 after 124 steps. The first transition is 4105389; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1368463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,421,568
Proper Divisor Sum 8,210,790
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8210777 ← → #8210789

Radix Representation

Decimal 8210778
Binary 11111010100100101011010 (23 bits)
Octal 0o37244532
Hexadecimal 0x7D495A

Divisor Catalog (8)

1 2 3 6 1,368,463 2,736,926 4,105,389 8,210,778

Collatz Trajectory (124 steps to reach 1)

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

8,210,778 4,105,389 12,316,168 6,158,084 3,079,042 1,539,521 4,618,564 2,309,282 1,154,641 3,463,924 1,731,962 865,981 2,597,944 1,298,972 649,486 324,743 974,230 487,115 1,461,346 730,673 2,192,020 1,096,010 548,005 1,644,016 822,008 411,004 205,502 102,751 308,254 154,127 462,382 231,191 693,574 346,787 1,040,362 520,181 1,560,544 780,272 390,136 195,068 97,534 48,767 146,302 73,151 219,454 109,727 329,182 164,591 493,774 246,887 740,662 370,331 1,110,994 555,497 1,666,492 833,246 416,623 1,249,870 624,935 1,874,806

More profiles

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