λ
Harmonic Matrix

3,438,889

3438889
Deficient Odd Prime

3,438,889 has digital root 7. The neighboring primes are 3438887 and 3438901; its proper-divisor sum differs from the starting integer by -3,438,888.

Prime Factor Structure

Factorization String 3438889
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,438,890
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3438887 ← → #3438901

Radix Representation

Decimal 3438889
Binary 1101000111100100101001 (22 bits)
Octal 0o15074451
Hexadecimal 0x347929

Divisor Catalog (2)

1 3,438,889

Collatz Trajectory (128 steps to reach 1)

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

3,438,889 10,316,668 5,158,334 2,579,167 7,737,502 3,868,751 11,606,254 5,803,127 17,409,382 8,704,691 26,114,074 13,057,037 39,171,112 19,585,556 9,792,778 4,896,389 14,689,168 7,344,584 3,672,292 1,836,146 918,073 2,754,220 1,377,110 688,555 2,065,666 1,032,833 3,098,500 1,549,250 774,625 2,323,876 1,161,938 580,969 1,742,908 871,454 435,727 1,307,182 653,591 1,960,774 980,387 2,941,162 1,470,581 4,411,744 2,205,872 1,102,936 551,468 275,734 137,867 413,602 206,801 620,404 310,202 155,101 465,304 232,652 116,326 58,163 174,490 87,245 261,736 130,868

More profiles

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