λ
Harmonic Matrix

3,399,045

3 × 5 × 13 × 17431
Deficient Odd Composite

3,399,045 has digital root 6. The neighboring primes are 3399041 and 3399059; its proper-divisor sum differs from the starting integer by -940,938.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,857,152
Proper Divisor Sum 2,458,107
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3399041 ← → #3399059

Radix Representation

Decimal 3399045
Binary 1100111101110110000101 (22 bits)
Octal 0o14756605
Hexadecimal 0x33DD85

Divisor Catalog (16)

1 3 5 13 15 39 65 195 17,431 52,293 87,155 226,603 261,465 679,809 1,133,015 3,399,045

Collatz Trajectory (177 steps to reach 1)

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

3,399,045 10,197,136 5,098,568 2,549,284 1,274,642 637,321 1,911,964 955,982 477,991 1,433,974 716,987 2,150,962 1,075,481 3,226,444 1,613,222 806,611 2,419,834 1,209,917 3,629,752 1,814,876 907,438 453,719 1,361,158 680,579 2,041,738 1,020,869 3,062,608 1,531,304 765,652 382,826 191,413 574,240 287,120 143,560 71,780 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599

More profiles

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