λ
Integer Codex

8,427,213

33 × 107 × 2917
Deficient Odd Composite

For 8,427,213, the 16 positive divisors have a total of 12,605,760. Removing 8,427,213 leaves 4,178,547, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 107 × 2917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,605,760
Proper Divisor Sum 4,178,547
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8427191 ← → #8427217

Radix Representation

Decimal 8427213
Binary 100000001001011011001101 (24 bits)
Octal 0o40113315
Hexadecimal 0x8096CD

Divisor Catalog (16)

1 3 9 27 107 321 963 2,889 2,917 8,751 26,253 78,759 312,119 936,357 2,809,071 8,427,213

Collatz Trajectory (199 steps to reach 1)

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

8,427,213 25,281,640 12,640,820 6,320,410 3,160,205 9,480,616 4,740,308 2,370,154 1,185,077 3,555,232 1,777,616 888,808 444,404 222,202 111,101 333,304 166,652 83,326 41,663 124,990 62,495 187,486 93,743 281,230 140,615 421,846 210,923 632,770 316,385 949,156 474,578 237,289 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924 900,962 450,481 1,351,444 675,722 337,861 1,013,584 506,792 253,396 126,698 63,349 190,048 95,024 47,512 23,756 11,878 5,939 17,818 8,909

More profiles

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