λ
Harmonic Matrix

3,741,018

2 × 3 × 31 × 20113
Abundant Even Composite

3,741,018 has digital root 6. The neighboring primes are 3741011 and 3741047; its proper-divisor sum differs from the starting integer by 241,740.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 20113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,723,776
Proper Divisor Sum 3,982,758
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3741011 ← → #3741047

Radix Representation

Decimal 3741018
Binary 1110010001010101011010 (22 bits)
Octal 0o16212532
Hexadecimal 0x39155A

Divisor Catalog (16)

1 2 3 6 31 62 93 186 20,113 40,226 60,339 120,678 623,503 1,247,006 1,870,509 3,741,018

Collatz Trajectory (203 steps to reach 1)

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

3,741,018 1,870,509 5,611,528 2,805,764 1,402,882 701,441 2,104,324 1,052,162 526,081 1,578,244 789,122 394,561 1,183,684 591,842 295,921 887,764 443,882 221,941 665,824 332,912 166,456 83,228 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732

More profiles

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