λ
Harmonic Matrix

343,021

7 × 49003
Deficient Odd Composite

343,021 has digital root 4. The neighboring primes are 343019 and 343037; its proper-divisor sum differs from the starting integer by -294,010.

Prime Factor Structure

Factorization String 7 × 49003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 392,032
Proper Divisor Sum 49,011
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #343019 ← → #343037

Radix Representation

Decimal 343021
Binary 1010011101111101101 (19 bits)
Octal 0o1235755
Hexadecimal 0x53BED

Divisor Catalog (4)

1 7 49,003 343,021

Collatz Trajectory (104 steps to reach 1)

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

343,021 1,029,064 514,532 257,266 128,633 385,900 192,950 96,475 289,426 144,713 434,140 217,070 108,535 325,606 162,803 488,410 244,205 732,616 366,308 183,154 91,577 274,732 137,366 68,683 206,050 103,025 309,076 154,538 77,269 231,808 115,904 57,952 28,976 14,488 7,244 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180

More profiles

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