λ
Prime Ledger

2,220,831

33 × 83 × 991
Deficient Odd Composite

2,220,831 has the prime decomposition 3^3 × 83 × 991. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 83 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,333,120
Proper Divisor Sum 1,112,289
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2220787 ← → #2220839

Radix Representation

Decimal 2220831
Binary 1000011110001100011111 (22 bits)
Octal 0o10361437
Hexadecimal 0x21E31F

Divisor Catalog (16)

1 3 9 27 83 249 747 991 2,241 2,973 8,919 26,757 82,253 246,759 740,277 2,220,831

Collatz Trajectory (117 steps to reach 1)

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

2,220,831 6,662,494 3,331,247 9,993,742 4,996,871 14,990,614 7,495,307 22,485,922 11,242,961 33,728,884 16,864,442 8,432,221 25,296,664 12,648,332 6,324,166 3,162,083 9,486,250 4,743,125 14,229,376 7,114,688 3,557,344 1,778,672 889,336 444,668 222,334 111,167 333,502 166,751 500,254 250,127 750,382 375,191 1,125,574 562,787 1,688,362 844,181 2,532,544 1,266,272 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087

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