λ
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Atlas › Integer Profiles › Node 1,997,334

1,997,334

2 × 32 × 37 × 2999
Abundant Even Composite

1,997,334 factors as 2 × 3^2 × 37 × 2999. Its 24 positive divisors give a proper-divisor sum of 2,448,666, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 2999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,446,000
Proper Divisor Sum 2,448,666
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1997321 ← → #1997339

Radix Representation

Decimal 1997334
Binary 111100111101000010110 (21 bits)
Octal 0o7475026
Hexadecimal 0x1E7A16

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 2,999 5,998 8,997 17,994 26,991 53,982 110,963 221,926 332,889 665,778 998,667 1,997,334

Collatz Trajectory (78 steps to reach 1)

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

1,997,334 998,667 2,996,002 1,498,001 4,494,004 2,247,002 1,123,501 3,370,504 1,685,252 842,626 421,313 1,263,940 631,970 315,985 947,956 473,978 236,989 710,968 355,484 177,742 88,871 266,614 133,307 399,922 199,961 599,884 299,942 149,971 449,914 224,957 674,872 337,436 168,718 84,359 253,078 126,539 379,618 189,809 569,428 284,714 142,357 427,072 213,536 106,768 53,384 26,692 13,346 6,673 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352

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