λ
Prime Ledger

6,841,428

22 × 3 × 11 × 51829
Abundant Even Composite

6,841,428 has the prime decomposition 2^2 × 3 × 11 × 51829. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 51829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,414,880
Proper Divisor Sum 10,573,452
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6841427 ← → #6841433

Radix Representation

Decimal 6841428
Binary 11010000110010001010100 (23 bits)
Octal 0o32062124
Hexadecimal 0x686454

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 51,829 103,658 155,487 207,316 310,974 570,119 621,948 1,140,238 1,710,357 2,280,476 3,420,714 6,841,428

Collatz Trajectory (103 steps to reach 1)

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

6,841,428 3,420,714 1,710,357 5,131,072 2,565,536 1,282,768 641,384 320,692 160,346 80,173 240,520 120,260 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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