λ
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Atlas › Integer Profiles › Node 2,338,588

2,338,588

22 × 7 × 174
Abundant Even Composite

Starting at 2,338,588, the Collatz iteration reaches 1 after 192 steps. The first transition is 1169294; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17^4
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 4,969,496
Proper Divisor Sum 2,630,908
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2338559 ← → #2338603

Radix Representation

Decimal 2338588
Binary 1000111010111100011100 (22 bits)
Octal 0o10727434
Hexadecimal 0x23AF1C

Divisor Catalog (30)

1 2 4 7 14 17 28 34 68 119 238 289 476 578 1,156 2,023 4,046 4,913 8,092 9,826 19,652 34,391 68,782 83,521 137,564 167,042 334,084 584,647 1,169,294 2,338,588

Collatz Trajectory (192 steps to reach 1)

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

2,338,588 1,169,294 584,647 1,753,942 876,971 2,630,914 1,315,457 3,946,372 1,973,186 986,593 2,959,780 1,479,890 739,945 2,219,836 1,109,918 554,959 1,664,878 832,439 2,497,318 1,248,659 3,745,978 1,872,989 5,618,968 2,809,484 1,404,742 702,371 2,107,114 1,053,557 3,160,672 1,580,336 790,168 395,084 197,542 98,771 296,314 148,157 444,472 222,236 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833

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