λ
Prime Ledger

2,245,380

22 × 3 × 5 × 37423
Abundant Even Composite

2,245,380 has the prime decomposition 2^2 × 3 × 5 × 37423. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,287,232
Proper Divisor Sum 4,041,852
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2245379 ← → #2245391

Radix Representation

Decimal 2245380
Binary 1000100100001100000100 (22 bits)
Octal 0o10441404
Hexadecimal 0x224304

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 37,423 74,846 112,269 149,692 187,115 224,538 374,230 449,076 561,345 748,460 1,122,690 2,245,380

Collatz Trajectory (117 steps to reach 1)

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

2,245,380 1,122,690 561,345 1,684,036 842,018 421,009 1,263,028 631,514 315,757 947,272 473,636 236,818 118,409 355,228 177,614 88,807 266,422 133,211 399,634 199,817 599,452 299,726 149,863 449,590 224,795 674,386 337,193 1,011,580 505,790 252,895 758,686 379,343 1,138,030 569,015 1,707,046 853,523 2,560,570 1,280,285 3,840,856 1,920,428 960,214 480,107 1,440,322 720,161 2,160,484 1,080,242 540,121 1,620,364 810,182 405,091 1,215,274 607,637 1,822,912 911,456 455,728 227,864 113,932 56,966 28,483 85,450

More profiles

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