λ
Prime Ledger

842,028

22 × 3 × 11 × 6379
Abundant Even Composite

842,028 has the prime decomposition 2^2 × 3 × 11 × 6379. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 6379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,143,680
Proper Divisor Sum 1,301,652
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #842021 ← → #842041

Radix Representation

Decimal 842028
Binary 11001101100100101100 (20 bits)
Octal 0o3154454
Hexadecimal 0xCD92C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 6,379 12,758 19,137 25,516 38,274 70,169 76,548 140,338 210,507 280,676 421,014 842,028

Collatz Trajectory (82 steps to reach 1)

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

842,028 421,014 210,507 631,522 315,761 947,284 473,642 236,821 710,464 355,232 177,616 88,808 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152

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