λ
Harmonic Matrix

3,424,502

2 × 167 × 10253
Deficient Even Composite

3,424,502 has digital root 2. The neighboring primes are 3424481 and 3424507; its proper-divisor sum differs from the starting integer by -1,680,988.

Prime Factor Structure

Factorization String 2 × 167 × 10253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,168,016
Proper Divisor Sum 1,743,514
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3424481 ← → #3424507

Radix Representation

Decimal 3424502
Binary 1101000100000011110110 (22 bits)
Octal 0o15040366
Hexadecimal 0x3440F6

Divisor Catalog (8)

1 2 167 334 10,253 20,506 1,712,251 3,424,502

Collatz Trajectory (190 steps to reach 1)

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

3,424,502 1,712,251 5,136,754 2,568,377 7,705,132 3,852,566 1,926,283 5,778,850 2,889,425 8,668,276 4,334,138 2,167,069 6,501,208 3,250,604 1,625,302 812,651 2,437,954 1,218,977 3,656,932 1,828,466 914,233 2,742,700 1,371,350 685,675 2,057,026 1,028,513 3,085,540 1,542,770 771,385 2,314,156 1,157,078 578,539 1,735,618 867,809 2,603,428 1,301,714 650,857 1,952,572 976,286 488,143 1,464,430 732,215 2,196,646 1,098,323 3,294,970 1,647,485 4,942,456 2,471,228 1,235,614 617,807 1,853,422 926,711 2,780,134 1,390,067 4,170,202 2,085,101 6,255,304 3,127,652 1,563,826 781,913

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