3,779,088

2⁴ × 3 × 131 × 601

For 3,779,088, the 40 positive divisors have a total of 9,853,536. Removing 3,779,088 leaves 6,074,448, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 131 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,853,536

Proper Divisor Sum 6,074,448

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3779071 ← → #3779101

Radix Representation

Decimal	3779088
Binary	1110011010101000010000 (22 bits)
Octal	0o16325020
Hexadecimal	0x39AA10

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 131 262 393 524 601 786 1,048 1,202 1,572 1,803 2,096 2,404 3,144 3,606 4,808 6,288 7,212 9,616 14,424 28,848 78,731 157,462 236,193 314,924 472,386 629,848 944,772 1,259,696 1,889,544 3,779,088

Collatz Trajectory (110 steps to reach 1)

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

3,779,088 1,889,544 944,772 472,386 236,193 708,580 354,290 177,145 531,436 265,718 132,859 398,578 199,289 597,868 298,934 149,467 448,402 224,201 672,604 336,302 168,151 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228 159,614 79,807 239,422 119,711 359,134 179,567 538,702 269,351 808,054 404,027 1,212,082 606,041 1,818,124 909,062 454,531 1,363,594 681,797 2,045,392 1,022,696 511,348 255,674 127,837 383,512 191,756 95,878 47,939 143,818

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