λ
Sequence Observatory
Atlas › Integer Profiles › Node 3,818,608

3,818,608

24 × 17 × 101 × 139
Abundant Even Composite

Starting at 3,818,608, the Collatz iteration reaches 1 after 154 steps. The first transition is 1909304; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 101 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,968,240
Proper Divisor Sum 4,149,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3818603 ← → #3818641

Radix Representation

Decimal 3818608
Binary 1110100100010001110000 (22 bits)
Octal 0o16442160
Hexadecimal 0x3A4470

Divisor Catalog (40)

1 2 4 8 16 17 34 68 101 136 139 202 272 278 404 556 808 1,112 1,616 1,717 2,224 2,363 3,434 4,726 6,868 9,452 13,736 14,039 18,904 27,472 28,078 37,808 56,156 112,312 224,624 238,663 477,326 954,652 1,909,304 3,818,608

Collatz Trajectory (154 steps to reach 1)

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

3,818,608 1,909,304 954,652 477,326 238,663 715,990 357,995 1,073,986 536,993 1,610,980 805,490 402,745 1,208,236 604,118 302,059 906,178 453,089 1,359,268 679,634 339,817 1,019,452 509,726 254,863 764,590 382,295 1,146,886 573,443 1,720,330 860,165 2,580,496 1,290,248 645,124 322,562 161,281 483,844 241,922 120,961 362,884 181,442 90,721 272,164 136,082 68,041 204,124 102,062 51,031 153,094 76,547 229,642 114,821 344,464 172,232 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221

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