λ
Harmonic Matrix

3,422,818

2 × 7 × 109 × 2243
Deficient Even Composite

3,422,818 has digital root 1. The neighboring primes are 3422813 and 3422917; its proper-divisor sum differs from the starting integer by -921,476.

Prime Factor Structure

Factorization String 2 × 7 × 109 × 2243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,924,160
Proper Divisor Sum 2,501,342
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3422813 ← → #3422917

Radix Representation

Decimal 3422818
Binary 1101000011101001100010 (22 bits)
Octal 0o15035142
Hexadecimal 0x343A62

Divisor Catalog (16)

1 2 7 14 109 218 763 1,526 2,243 4,486 15,701 31,402 244,487 488,974 1,711,409 3,422,818

Collatz Trajectory (221 steps to reach 1)

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

3,422,818 1,711,409 5,134,228 2,567,114 1,283,557 3,850,672 1,925,336 962,668 481,334 240,667 722,002 361,001 1,083,004 541,502 270,751 812,254 406,127 1,218,382 609,191 1,827,574 913,787 2,741,362 1,370,681 4,112,044 2,056,022 1,028,011 3,084,034 1,542,017 4,626,052 2,313,026 1,156,513 3,469,540 1,734,770 867,385 2,602,156 1,301,078 650,539 1,951,618 975,809 2,927,428 1,463,714 731,857 2,195,572 1,097,786 548,893 1,646,680 823,340 411,670 205,835 617,506 308,753 926,260 463,130 231,565 694,696 347,348 173,674 86,837 260,512 130,256

More profiles

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