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Atlas › Integer Profiles › Node 2,008,494

2,008,494

2 × 32 × 241 × 463
Abundant Even Composite

2,008,494 factors as 2 × 3^2 × 241 × 463. Its 24 positive divisors give a proper-divisor sum of 2,370,738, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 241 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,379,232
Proper Divisor Sum 2,370,738
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2008493 ← → #2008529

Radix Representation

Decimal 2008494
Binary 111101010010110101110 (21 bits)
Octal 0o7522656
Hexadecimal 0x1EA5AE

Divisor Catalog (24)

1 2 3 6 9 18 241 463 482 723 926 1,389 1,446 2,169 2,778 4,167 4,338 8,334 111,583 223,166 334,749 669,498 1,004,247 2,008,494

Collatz Trajectory (91 steps to reach 1)

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

2,008,494 1,004,247 3,012,742 1,506,371 4,519,114 2,259,557 6,778,672 3,389,336 1,694,668 847,334 423,667 1,271,002 635,501 1,906,504 953,252 476,626 238,313 714,940 357,470 178,735 536,206 268,103 804,310 402,155 1,206,466 603,233 1,809,700 904,850 452,425 1,357,276 678,638 339,319 1,017,958 508,979 1,526,938 763,469 2,290,408 1,145,204 572,602 286,301 858,904 429,452 214,726 107,363 322,090 161,045 483,136 241,568 120,784 60,392 30,196 15,098 7,549 22,648 11,324 5,662 2,831 8,494 4,247 12,742

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