λ
Prime Ledger

2,646,228

22 × 3 × 13 × 16963
Abundant Even Composite

2,646,228 has the prime decomposition 2^2 × 3 × 13 × 16963. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 16963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,649,888
Proper Divisor Sum 4,003,660
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2646227 ← → #2646233

Radix Representation

Decimal 2646228
Binary 1010000110000011010100 (22 bits)
Octal 0o12060324
Hexadecimal 0x2860D4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 16,963 33,926 50,889 67,852 101,778 203,556 220,519 441,038 661,557 882,076 1,323,114 2,646,228

Collatz Trajectory (156 steps to reach 1)

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

2,646,228 1,323,114 661,557 1,984,672 992,336 496,168 248,084 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

More profiles

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