λ
Ratio Atlas

8,428,124

22 × 17 × 41 × 3023
Deficient Even Composite

8,428,124 factors as 2^2 × 17 × 41 × 3023. Its 24 positive divisors give a proper-divisor sum of 7,574,884, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 41 × 3023
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,003,008
Proper Divisor Sum 7,574,884
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8428099 ← → #8428139

Radix Representation

Decimal 8428124
Binary 100000001001101001011100 (24 bits)
Octal 0o40115134
Hexadecimal 0x809A5C

Divisor Catalog (24)

1 2 4 17 34 41 68 82 164 697 1,394 2,788 3,023 6,046 12,092 51,391 102,782 123,943 205,564 247,886 495,772 2,107,031 4,214,062 8,428,124

Collatz Trajectory (124 steps to reach 1)

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

8,428,124 4,214,062 2,107,031 6,321,094 3,160,547 9,481,642 4,740,821 14,222,464 7,111,232 3,555,616 1,777,808 888,904 444,452 222,226 111,113 333,340 166,670 83,335 250,006 125,003 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

More profiles

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