λ
Harmonic Matrix

4,326,618

2 × 3 × 103 × 7001
Abundant Even Composite

4,326,618 has digital root 3. The neighboring primes are 4326611 and 4326629; its proper-divisor sum differs from the starting integer by 85,260.

Prime Factor Structure

Factorization String 2 × 3 × 103 × 7001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,738,496
Proper Divisor Sum 4,411,878
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4326611 ← → #4326629

Radix Representation

Decimal 4326618
Binary 10000100000010011011010 (23 bits)
Octal 0o20402332
Hexadecimal 0x4204DA

Divisor Catalog (16)

1 2 3 6 103 206 309 618 7,001 14,002 21,003 42,006 721,103 1,442,206 2,163,309 4,326,618

Collatz Trajectory (291 steps to reach 1)

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

4,326,618 2,163,309 6,489,928 3,244,964 1,622,482 811,241 2,433,724 1,216,862 608,431 1,825,294 912,647 2,737,942 1,368,971 4,106,914 2,053,457 6,160,372 3,080,186 1,540,093 4,620,280 2,310,140 1,155,070 577,535 1,732,606 866,303 2,598,910 1,299,455 3,898,366 1,949,183 5,847,550 2,923,775 8,771,326 4,385,663 13,156,990 6,578,495 19,735,486 9,867,743 29,603,230 14,801,615 44,404,846 22,202,423 66,607,270 33,303,635 99,910,906 49,955,453 149,866,360 74,933,180 37,466,590 18,733,295 56,199,886 28,099,943 84,299,830 42,149,915 126,449,746 63,224,873 189,674,620 94,837,310 47,418,655 142,255,966 71,127,983 213,383,950

More profiles

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