λ
Integer Codex

8,942,408

23 × 17 × 47 × 1399
Abundant Even Composite

For 8,942,408, the 32 positive divisors have a total of 18,144,000. Removing 8,942,408 leaves 9,201,592, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 17 × 47 × 1399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,144,000
Proper Divisor Sum 9,201,592
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8942393 ← → #8942413

Radix Representation

Decimal 8942408
Binary 100010000111001101001000 (24 bits)
Octal 0o42071510
Hexadecimal 0x887348

Divisor Catalog (32)

1 2 4 8 17 34 47 68 94 136 188 376 799 1,399 1,598 2,798 3,196 5,596 6,392 11,192 23,783 47,566 65,753 95,132 131,506 190,264 263,012 526,024 1,117,801 2,235,602 4,471,204 8,942,408

Collatz Trajectory (212 steps to reach 1)

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

8,942,408 4,471,204 2,235,602 1,117,801 3,353,404 1,676,702 838,351 2,515,054 1,257,527 3,772,582 1,886,291 5,658,874 2,829,437 8,488,312 4,244,156 2,122,078 1,061,039 3,183,118 1,591,559 4,774,678 2,387,339 7,162,018 3,581,009 10,743,028 5,371,514 2,685,757 8,057,272 4,028,636 2,014,318 1,007,159 3,021,478 1,510,739 4,532,218 2,266,109 6,798,328 3,399,164 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608 2,041,804

More profiles

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