λ
Prime Ledger

3,824,220

22 × 3 × 5 × 63737
Abundant Even Composite

3,824,220 has the prime decomposition 2^2 × 3 × 5 × 63737. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 63737
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,707,984
Proper Divisor Sum 6,883,764
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3824207 ← → #3824231

Radix Representation

Decimal 3824220
Binary 1110100101101001011100 (22 bits)
Octal 0o16455134
Hexadecimal 0x3A5A5C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 63,737 127,474 191,211 254,948 318,685 382,422 637,370 764,844 956,055 1,274,740 1,912,110 3,824,220

Collatz Trajectory (79 steps to reach 1)

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

3,824,220 1,912,110 956,055 2,868,166 1,434,083 4,302,250 2,151,125 6,453,376 3,226,688 1,613,344 806,672 403,336 201,668 100,834 50,417 151,252 75,626 37,813 113,440 56,720 28,360 14,180 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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