λ
Sequence Observatory

343,721

7 × 49103
Deficient Odd Composite

Starting at 343,721, the Collatz iteration reaches 1 after 184 steps. The first transition is 1031164; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 49103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 392,832
Proper Divisor Sum 49,111
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #343709 ← → #343727

Radix Representation

Decimal 343721
Binary 1010011111010101001 (19 bits)
Octal 0o1237251
Hexadecimal 0x53EA9

Divisor Catalog (4)

1 7 49,103 343,721

Collatz Trajectory (184 steps to reach 1)

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

343,721 1,031,164 515,582 257,791 773,374 386,687 1,160,062 580,031 1,740,094 870,047 2,610,142 1,305,071 3,915,214 1,957,607 5,872,822 2,936,411 8,809,234 4,404,617 13,213,852 6,606,926 3,303,463 9,910,390 4,955,195 14,865,586 7,432,793 22,298,380 11,149,190 5,574,595 16,723,786 8,361,893 25,085,680 12,542,840 6,271,420 3,135,710 1,567,855 4,703,566 2,351,783 7,055,350 3,527,675 10,583,026 5,291,513 15,874,540 7,937,270 3,968,635 11,905,906 5,952,953 17,858,860 8,929,430 4,464,715 13,394,146 6,697,073 20,091,220 10,045,610 5,022,805 15,068,416 7,534,208 3,767,104 1,883,552 941,776 470,888

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