λ
Prime Ledger

3,112,756

22 × 241 × 3229
Deficient Even Composite

3,112,756 has the prime decomposition 2^2 × 241 × 3229. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 241 × 3229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,471,620
Proper Divisor Sum 2,358,864
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3112729 ← → #3112757

Radix Representation

Decimal 3112756
Binary 1011110111111100110100 (22 bits)
Octal 0o13677464
Hexadecimal 0x2F7F34

Divisor Catalog (12)

1 2 4 241 482 964 3,229 6,458 12,916 778,189 1,556,378 3,112,756

Collatz Trajectory (133 steps to reach 1)

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

3,112,756 1,556,378 778,189 2,334,568 1,167,284 583,642 291,821 875,464 437,732 218,866 109,433 328,300 164,150 82,075 246,226 123,113 369,340 184,670 92,335 277,006 138,503 415,510 207,755 623,266 311,633 934,900 467,450 233,725 701,176 350,588 175,294 87,647 262,942 131,471 394,414 197,207 591,622 295,811 887,434 443,717 1,331,152 665,576 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462

More profiles

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