λ
Harmonic Matrix

3,647,822

2 × 1823911
Deficient Even Composite

3,647,822 has digital root 5. The neighboring primes are 3647807 and 3647827; its proper-divisor sum differs from the starting integer by -1,823,908.

Prime Factor Structure

Factorization String 2 × 1823911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,471,736
Proper Divisor Sum 1,823,914
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3647807 ← → #3647827

Radix Representation

Decimal 3647822
Binary 1101111010100101001110 (22 bits)
Octal 0o15724516
Hexadecimal 0x37A94E

Divisor Catalog (4)

1 2 1,823,911 3,647,822

Collatz Trajectory (115 steps to reach 1)

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

3,647,822 1,823,911 5,471,734 2,735,867 8,207,602 4,103,801 12,311,404 6,155,702 3,077,851 9,233,554 4,616,777 13,850,332 6,925,166 3,462,583 10,387,750 5,193,875 15,581,626 7,790,813 23,372,440 11,686,220 5,843,110 2,921,555 8,764,666 4,382,333 13,147,000 6,573,500 3,286,750 1,643,375 4,930,126 2,465,063 7,395,190 3,697,595 11,092,786 5,546,393 16,639,180 8,319,590 4,159,795 12,479,386 6,239,693 18,719,080 9,359,540 4,679,770 2,339,885 7,019,656 3,509,828 1,754,914 877,457 2,632,372 1,316,186 658,093 1,974,280 987,140 493,570 246,785 740,356 370,178 185,089 555,268 277,634 138,817

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