λ
Harmonic Matrix

3,379,201

7 × 482743
Deficient Odd Composite

3,379,201 has digital root 7. The neighboring primes are 3379177 and 3379223; its proper-divisor sum differs from the starting integer by -2,896,450.

Prime Factor Structure

Factorization String 7 × 482743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,861,952
Proper Divisor Sum 482,751
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3379177 ← → #3379223

Radix Representation

Decimal 3379201
Binary 1100111001000000000001 (22 bits)
Octal 0o14710001
Hexadecimal 0x339001

Divisor Catalog (4)

1 7 482,743 3,379,201

Collatz Trajectory (252 steps to reach 1)

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

3,379,201 10,137,604 5,068,802 2,534,401 7,603,204 3,801,602 1,900,801 5,702,404 2,851,202 1,425,601 4,276,804 2,138,402 1,069,201 3,207,604 1,603,802 801,901 2,405,704 1,202,852 601,426 300,713 902,140 451,070 225,535 676,606 338,303 1,014,910 507,455 1,522,366 761,183 2,283,550 1,141,775 3,425,326 1,712,663 5,137,990 2,568,995 7,706,986 3,853,493 11,560,480 5,780,240 2,890,120 1,445,060 722,530 361,265 1,083,796 541,898 270,949 812,848 406,424 203,212 101,606 50,803 152,410 76,205 228,616 114,308 57,154 28,577 85,732 42,866 21,433

More profiles

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