λ
Modular Archive

374,517

33 × 11 × 13 × 97
Deficient Odd Composite

The decimal integer 374,517 is 1011011011011110101 in binary (19 bits), 1333365 in octal and 5B6F5 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^3 × 11 × 13 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 658,560
Proper Divisor Sum 284,043
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #374501 ← → #374531

Radix Representation

Decimal 374517
Binary 1011011011011110101 (19 bits)
Octal 0o1333365
Hexadecimal 0x5B6F5

Divisor Catalog (32)

1 3 9 11 13 27 33 39 97 99 117 143 291 297 351 429 873 1,067 1,261 1,287 2,619 3,201 3,783 3,861 9,603 11,349 13,871 28,809 34,047 41,613 124,839 374,517

Collatz Trajectory (179 steps to reach 1)

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

374,517 1,123,552 561,776 280,888 140,444 70,222 35,111 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398

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