λ
Harmonic Matrix

3,479,366

2 × 11 × 89 × 1777
Deficient Even Composite

3,479,366 has digital root 2. The neighboring primes are 3479353 and 3479381; its proper-divisor sum differs from the starting integer by -1,198,012.

Prime Factor Structure

Factorization String 2 × 11 × 89 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,760,720
Proper Divisor Sum 2,281,354
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3479353 ← → #3479381

Radix Representation

Decimal 3479366
Binary 1101010001011101000110 (22 bits)
Octal 0o15213506
Hexadecimal 0x351746

Divisor Catalog (16)

1 2 11 22 89 178 979 1,777 1,958 3,554 19,547 39,094 158,153 316,306 1,739,683 3,479,366

Collatz Trajectory (84 steps to reach 1)

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

3,479,366 1,739,683 5,219,050 2,609,525 7,828,576 3,914,288 1,957,144 978,572 489,286 244,643 733,930 366,965 1,100,896 550,448 275,224 137,612 68,806 34,403 103,210 51,605 154,816 77,408 38,704 19,352 9,676 4,838 2,419 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616

More profiles

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