λ
Harmonic Matrix

3,908,418

2 × 3 × 31 × 21013
Abundant Even Composite

3,908,418 has digital root 6. The neighboring primes are 3908393 and 3908423; its proper-divisor sum differs from the starting integer by 252,540.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 21013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,069,376
Proper Divisor Sum 4,160,958
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3908393 ← → #3908423

Radix Representation

Decimal 3908418
Binary 1110111010001101000010 (22 bits)
Octal 0o16721502
Hexadecimal 0x3BA342

Divisor Catalog (16)

1 2 3 6 31 62 93 186 21,013 42,026 63,039 126,078 651,403 1,302,806 1,954,209 3,908,418

Collatz Trajectory (353 steps to reach 1)

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

3,908,418 1,954,209 5,862,628 2,931,314 1,465,657 4,396,972 2,198,486 1,099,243 3,297,730 1,648,865 4,946,596 2,473,298 1,236,649 3,709,948 1,854,974 927,487 2,782,462 1,391,231 4,173,694 2,086,847 6,260,542 3,130,271 9,390,814 4,695,407 14,086,222 7,043,111 21,129,334 10,564,667 31,694,002 15,847,001 47,541,004 23,770,502 11,885,251 35,655,754 17,827,877 53,483,632 26,741,816 13,370,908 6,685,454 3,342,727 10,028,182 5,014,091 15,042,274 7,521,137 22,563,412 11,281,706 5,640,853 16,922,560 8,461,280 4,230,640 2,115,320 1,057,660 528,830 264,415 793,246 396,623 1,189,870 594,935 1,784,806 892,403

More profiles

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