λ
Harmonic Matrix

3,374,194

2 × 17 × 99241
Deficient Even Composite

3,374,194 has digital root 4. The neighboring primes are 3374183 and 3374197; its proper-divisor sum differs from the starting integer by -1,389,320.

Prime Factor Structure

Factorization String 2 × 17 × 99241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,359,068
Proper Divisor Sum 1,984,874
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3374183 ← → #3374197

Radix Representation

Decimal 3374194
Binary 1100110111110001110010 (22 bits)
Octal 0o14676162
Hexadecimal 0x337C72

Divisor Catalog (8)

1 2 17 34 99,241 198,482 1,687,097 3,374,194

Collatz Trajectory (133 steps to reach 1)

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

3,374,194 1,687,097 5,061,292 2,530,646 1,265,323 3,795,970 1,897,985 5,693,956 2,846,978 1,423,489 4,270,468 2,135,234 1,067,617 3,202,852 1,601,426 800,713 2,402,140 1,201,070 600,535 1,801,606 900,803 2,702,410 1,351,205 4,053,616 2,026,808 1,013,404 506,702 253,351 760,054 380,027 1,140,082 570,041 1,710,124 855,062 427,531 1,282,594 641,297 1,923,892 961,946 480,973 1,442,920 721,460 360,730 180,365 541,096 270,548 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568

More profiles

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