λ
Integer Codex

3,634,371

32 × 13 × 31063
Deficient Odd Composite

For 3,634,371, the 12 positive divisors have a total of 5,653,648. Removing 3,634,371 leaves 2,019,277, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 31063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,653,648
Proper Divisor Sum 2,019,277
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3634343 ← → #3634373

Radix Representation

Decimal 3634371
Binary 1101110111010011000011 (22 bits)
Octal 0o15672303
Hexadecimal 0x3774C3

Divisor Catalog (12)

1 3 9 13 39 117 31,063 93,189 279,567 403,819 1,211,457 3,634,371

Collatz Trajectory (141 steps to reach 1)

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

3,634,371 10,903,114 5,451,557 16,354,672 8,177,336 4,088,668 2,044,334 1,022,167 3,066,502 1,533,251 4,599,754 2,299,877 6,899,632 3,449,816 1,724,908 862,454 431,227 1,293,682 646,841 1,940,524 970,262 485,131 1,455,394 727,697 2,183,092 1,091,546 545,773 1,637,320 818,660 409,330 204,665 613,996 306,998 153,499 460,498 230,249 690,748 345,374 172,687 518,062 259,031 777,094 388,547 1,165,642 582,821 1,748,464 874,232 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844

More profiles

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