λ
Prime Ledger

3,240,006

2 × 3 × 7 × 11 × 7013
Abundant Even Composite

3,240,006 has the prime decomposition 2 × 3 × 7 × 11 × 7013. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 7013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,080,128
Proper Divisor Sum 4,840,122
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3239989 ← → #3240019

Radix Representation

Decimal 3240006
Binary 1100010111000001000110 (22 bits)
Octal 0o14270106
Hexadecimal 0x317046

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 7,013 14,026 21,039 42,078 49,091 77,143 98,182 147,273 154,286 231,429 294,546 462,858 540,001 1,080,002 1,620,003 3,240,006

Collatz Trajectory (63 steps to reach 1)

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

3,240,006 1,620,003 4,860,010 2,430,005 7,290,016 3,645,008 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16

More profiles

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