λ
Prime Ledger

3,923,826

2 × 3 × 317 × 2063
Abundant Even Composite

3,923,826 has the prime decomposition 2 × 3 × 317 × 2063. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 317 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,876,224
Proper Divisor Sum 3,952,398
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3923791 ← → #3923827

Radix Representation

Decimal 3923826
Binary 1110111101111101110010 (22 bits)
Octal 0o16757562
Hexadecimal 0x3BDF72

Divisor Catalog (16)

1 2 3 6 317 634 951 1,902 2,063 4,126 6,189 12,378 653,971 1,307,942 1,961,913 3,923,826

Collatz Trajectory (198 steps to reach 1)

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

3,923,826 1,961,913 5,885,740 2,942,870 1,471,435 4,414,306 2,207,153 6,621,460 3,310,730 1,655,365 4,966,096 2,483,048 1,241,524 620,762 310,381 931,144 465,572 232,786 116,393 349,180 174,590 87,295 261,886 130,943 392,830 196,415 589,246 294,623 883,870 441,935 1,325,806 662,903 1,988,710 994,355 2,983,066 1,491,533 4,474,600 2,237,300 1,118,650 559,325 1,677,976 838,988 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940

More profiles

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