λ
Prime Ledger

2,036,880

24 × 33 × 5 × 23 × 41
Abundant Even Composite

2,036,880 has the prime decomposition 2^4 × 3^3 × 5 × 23 × 41. Its 5 distinct prime factors produce 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 23 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 7,499,520
Proper Divisor Sum 5,462,640
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2036869 ← → #2036891

Radix Representation

Decimal 2036880
Binary 111110001010010010000 (21 bits)
Octal 0o7612220
Hexadecimal 0x1F1490

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 41 45 46 48 54 60 69 72 80 82 90 92 108 115 120 123 135 138 144 164 180 184 205 207 216 230 240 246 270 276 328 345 360 368 369 410 414 432 460 492

Collatz Trajectory (153 steps to reach 1)

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

2,036,880 1,018,440 509,220 254,610 127,305 381,916 190,958 95,479 286,438 143,219 429,658 214,829 644,488 322,244 161,122 80,561 241,684 120,842 60,421 181,264 90,632 45,316 22,658 11,329 33,988 16,994 8,497 25,492 12,746 6,373 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364

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