λ
Harmonic Matrix

6,446,389

41 × 157229
Deficient Odd Composite

6,446,389 has digital root 4. The neighboring primes are 6446387 and 6446413; its proper-divisor sum differs from the starting integer by -6,289,118.

Prime Factor Structure

Factorization String 41 × 157229
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,603,660
Proper Divisor Sum 157,271
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6446387 ← → #6446413

Radix Representation

Decimal 6446389
Binary 11000100101110100110101 (23 bits)
Octal 0o30456465
Hexadecimal 0x625D35

Divisor Catalog (4)

1 41 157,229 6,446,389

Collatz Trajectory (240 steps to reach 1)

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

6,446,389 19,339,168 9,669,584 4,834,792 2,417,396 1,208,698 604,349 1,813,048 906,524 453,262 226,631 679,894 339,947 1,019,842 509,921 1,529,764 764,882 382,441 1,147,324 573,662 286,831 860,494 430,247 1,290,742 645,371 1,936,114 968,057 2,904,172 1,452,086 726,043 2,178,130 1,089,065 3,267,196 1,633,598 816,799 2,450,398 1,225,199 3,675,598 1,837,799 5,513,398 2,756,699 8,270,098 4,135,049 12,405,148 6,202,574 3,101,287 9,303,862 4,651,931 13,955,794 6,977,897 20,933,692 10,466,846 5,233,423 15,700,270 7,850,135 23,550,406 11,775,203 35,325,610 17,662,805 52,988,416

More profiles

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