3,775,291

13² × 89 × 251

For 3,775,291, the 12 positive divisors have a total of 4,150,440. Removing 3,775,291 leaves 375,149, which gives the deficient classification.

Prime Factor Structure

Factorization String 13^2 × 89 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,150,440

Proper Divisor Sum 375,149

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3775201 ← → #3775297

Radix Representation

Decimal	3775291
Binary	1110011001101100111011 (22 bits)
Octal	0o16315473
Hexadecimal	0x399B3B

Divisor Catalog (12)

1 13 89 169 251 1,157 3,263 15,041 22,339 42,419 290,407 3,775,291

Collatz Trajectory (110 steps to reach 1)

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

3,775,291 11,325,874 5,662,937 16,988,812 8,494,406 4,247,203 12,741,610 6,370,805 19,112,416 9,556,208 4,778,104 2,389,052 1,194,526 597,263 1,791,790 895,895 2,687,686 1,343,843 4,031,530 2,015,765 6,047,296 3,023,648 1,511,824 755,912 377,956 188,978 94,489 283,468 141,734 70,867 212,602 106,301 318,904 159,452 79,726 39,863 119,590 59,795 179,386 89,693 269,080 134,540 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994

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