λ
Harmonic Matrix

343,726

2 × 171863
Deficient Even Composite

343,726 has digital root 7. The neighboring primes are 343709 and 343727; its proper-divisor sum differs from the starting integer by -171,860.

Prime Factor Structure

Factorization String 2 × 171863
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 515,592
Proper Divisor Sum 171,866
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #343709 ← → #343727

Radix Representation

Decimal 343726
Binary 1010011111010101110 (19 bits)
Octal 0o1237256
Hexadecimal 0x53EAE

Divisor Catalog (4)

1 2 171,863 343,726

Collatz Trajectory (197 steps to reach 1)

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

343,726 171,863 515,590 257,795 773,386 386,693 1,160,080 580,040 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085

More profiles

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