λ
Harmonic Matrix

343,937

11 × 31267
Deficient Odd Composite

343,937 has digital root 2. The neighboring primes are 343933 and 343939; its proper-divisor sum differs from the starting integer by -312,658.

Prime Factor Structure

Factorization String 11 × 31267
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 375,216
Proper Divisor Sum 31,279
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #343933 ← → #343939

Radix Representation

Decimal 343937
Binary 1010011111110000001 (19 bits)
Octal 0o1237601
Hexadecimal 0x53F81

Divisor Catalog (4)

1 11 31,267 343,937

Collatz Trajectory (104 steps to reach 1)

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

343,937 1,031,812 515,906 257,953 773,860 386,930 193,465 580,396 290,198 145,099 435,298 217,649 652,948 326,474 163,237 489,712 244,856 122,428 61,214 30,607 91,822 45,911 137,734 68,867 206,602 103,301 309,904 154,952 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182

More profiles

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