λ
Sequence Observatory

8,340,916

22 × 2085229
Deficient Even Composite

Starting at 8,340,916, the Collatz iteration reaches 1 after 186 steps. The first transition is 4170458; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2085229
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,596,610
Proper Divisor Sum 6,255,694
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8340911 ← → #8340961

Radix Representation

Decimal 8340916
Binary 11111110100010110110100 (23 bits)
Octal 0o37642664
Hexadecimal 0x7F45B4

Divisor Catalog (6)

1 2 4 2,085,229 4,170,458 8,340,916

Collatz Trajectory (186 steps to reach 1)

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

8,340,916 4,170,458 2,085,229 6,255,688 3,127,844 1,563,922 781,961 2,345,884 1,172,942 586,471 1,759,414 879,707 2,639,122 1,319,561 3,958,684 1,979,342 989,671 2,969,014 1,484,507 4,453,522 2,226,761 6,680,284 3,340,142 1,670,071 5,010,214 2,505,107 7,515,322 3,757,661 11,272,984 5,636,492 2,818,246 1,409,123 4,227,370 2,113,685 6,341,056 3,170,528 1,585,264 792,632 396,316 198,158 99,079 297,238 148,619 445,858 222,929 668,788 334,394 167,197 501,592 250,796 125,398 62,699 188,098 94,049 282,148 141,074 70,537 211,612 105,806 52,903

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