4,037,181

3 × 37² × 983

4,037,181 is odd and not a perfect square. Its factorization is 3 × 37^2 × 983 and its 12 divisors sum to 5,537,952.

Prime Factor Structure

Factorization String 3 × 37^2 × 983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,537,952

Proper Divisor Sum 1,500,771

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4037179 ← → #4037183

Radix Representation

Decimal	4037181
Binary	1111011001101000111101 (22 bits)
Octal	0o17315075
Hexadecimal	0x3D9A3D

Divisor Catalog (12)

1 3 37 111 983 1,369 2,949 4,107 36,371 109,113 1,345,727 4,037,181

Collatz Trajectory (198 steps to reach 1)

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

4,037,181 12,111,544 6,055,772 3,027,886 1,513,943 4,541,830 2,270,915 6,812,746 3,406,373 10,219,120 5,109,560 2,554,780 1,277,390 638,695 1,916,086 958,043 2,874,130 1,437,065 4,311,196 2,155,598 1,077,799 3,233,398 1,616,699 4,850,098 2,425,049 7,275,148 3,637,574 1,818,787 5,456,362 2,728,181 8,184,544 4,092,272 2,046,136 1,023,068 511,534 255,767 767,302 383,651 1,150,954 575,477 1,726,432 863,216 431,608 215,804 107,902 53,951 161,854 80,927 242,782 121,391 364,174 182,087 546,262 273,131 819,394 409,697 1,229,092 614,546 307,273 921,820

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