3,078,844

2² × 37 × 71 × 293

For 3,078,844, the 24 positive divisors have a total of 5,630,688. Removing 3,078,844 leaves 2,551,844, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 37 × 71 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,630,688

Proper Divisor Sum 2,551,844

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3078839 ← → #3078857

Radix Representation

Decimal	3078844
Binary	1011101111101010111100 (22 bits)
Octal	0o13575274
Hexadecimal	0x2EFABC

Divisor Catalog (24)

1 2 4 37 71 74 142 148 284 293 586 1,172 2,627 5,254 10,508 10,841 20,803 21,682 41,606 43,364 83,212 769,711 1,539,422 3,078,844

Collatz Trajectory (102 steps to reach 1)

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

3,078,844 1,539,422 769,711 2,309,134 1,154,567 3,463,702 1,731,851 5,195,554 2,597,777 7,793,332 3,896,666 1,948,333 5,845,000 2,922,500 1,461,250 730,625 2,191,876 1,095,938 547,969 1,643,908 821,954 410,977 1,232,932 616,466 308,233 924,700 462,350 231,175 693,526 346,763 1,040,290 520,145 1,560,436 780,218 390,109 1,170,328 585,164 292,582 146,291 438,874 219,437 658,312 329,156 164,578 82,289 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256

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