λ
Sigma Notebook

8,429,840

24 × 5 × 105373
Abundant Even Composite

8,429,840 is even and not a perfect square. Its factorization is 2^4 × 5 × 105373 and its 20 divisors sum to 19,599,564.

Prime Factor Structure

Factorization String 2^4 × 5 × 105373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,599,564
Proper Divisor Sum 11,169,724
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8429833 ← → #8429851

Radix Representation

Decimal 8429840
Binary 100000001010000100010000 (24 bits)
Octal 0o40120420
Hexadecimal 0x80A110

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 105,373 210,746 421,492 526,865 842,984 1,053,730 1,685,968 2,107,460 4,214,920 8,429,840

Collatz Trajectory (124 steps to reach 1)

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

8,429,840 4,214,920 2,107,460 1,053,730 526,865 1,580,596 790,298 395,149 1,185,448 592,724 296,362 148,181 444,544 222,272 111,136 55,568 27,784 13,892 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

More profiles

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