λ
Harmonic Matrix

3,207,104

26 × 50111
Deficient Even Composite

3,207,104 has digital root 8. The neighboring primes are 3207091 and 3207119; its proper-divisor sum differs from the starting integer by -49,984.

Prime Factor Structure

Factorization String 2^6 × 50111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 6,364,224
Proper Divisor Sum 3,157,120
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3207091 ← → #3207119

Radix Representation

Decimal 3207104
Binary 1100001110111111000000 (22 bits)
Octal 0o14167700
Hexadecimal 0x30EFC0

Divisor Catalog (14)

1 2 4 8 16 32 64 50,111 100,222 200,444 400,888 801,776 1,603,552 3,207,104

Collatz Trajectory (146 steps to reach 1)

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

3,207,104 1,603,552 801,776 400,888 200,444 100,222 50,111 150,334 75,167 225,502 112,751 338,254 169,127 507,382 253,691 761,074 380,537 1,141,612 570,806 285,403 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650 72,325 216,976 108,488 54,244 27,122 13,561 40,684 20,342

More profiles

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