λ
Harmonic Matrix

3,424,795

5 × 11 × 73 × 853
Deficient Odd Composite

3,424,795 has digital root 7. The neighboring primes are 3424789 and 3424801; its proper-divisor sum differs from the starting integer by -2,299,478.

Prime Factor Structure

Factorization String 5 × 11 × 73 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,550,112
Proper Divisor Sum 1,125,317
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3424789 ← → #3424801

Radix Representation

Decimal 3424795
Binary 1101000100001000011011 (22 bits)
Octal 0o15041033
Hexadecimal 0x34421B

Divisor Catalog (16)

1 5 11 55 73 365 803 853 4,015 4,265 9,383 46,915 62,269 311,345 684,959 3,424,795

Collatz Trajectory (252 steps to reach 1)

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

3,424,795 10,274,386 5,137,193 15,411,580 7,705,790 3,852,895 11,558,686 5,779,343 17,338,030 8,669,015 26,007,046 13,003,523 39,010,570 19,505,285 58,515,856 29,257,928 14,628,964 7,314,482 3,657,241 10,971,724 5,485,862 2,742,931 8,228,794 4,114,397 12,343,192 6,171,596 3,085,798 1,542,899 4,628,698 2,314,349 6,943,048 3,471,524 1,735,762 867,881 2,603,644 1,301,822 650,911 1,952,734 976,367 2,929,102 1,464,551 4,393,654 2,196,827 6,590,482 3,295,241 9,885,724 4,942,862 2,471,431 7,414,294 3,707,147 11,121,442 5,560,721 16,682,164 8,341,082 4,170,541 12,511,624 6,255,812 3,127,906 1,563,953 4,691,860

More profiles

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