λ
Prime Ledger

2,206,730

2 × 5 × 220673
Deficient Even Composite

2,206,730 has the prime decomposition 2 × 5 × 220673. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 220673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,972,132
Proper Divisor Sum 1,765,402
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2206723 ← → #2206733

Radix Representation

Decimal 2206730
Binary 1000011010110000001010 (22 bits)
Octal 0o10326012
Hexadecimal 0x21AC0A

Divisor Catalog (8)

1 2 5 10 220,673 441,346 1,103,365 2,206,730

Collatz Trajectory (73 steps to reach 1)

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

2,206,730 1,103,365 3,310,096 1,655,048 827,524 413,762 206,881 620,644 310,322 155,161 465,484 232,742 116,371 349,114 174,557 523,672 261,836 130,918 65,459 196,378 98,189 294,568 147,284 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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