6,843,281

31² × 7121

Starting at 6,843,281, the Collatz iteration reaches 1 after 77 steps. The first transition is 20529844; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 31^2 × 7121

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,072,146

Proper Divisor Sum 228,865

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6843257 ← → #6843283

Radix Representation

Decimal	6843281
Binary	11010000110101110010001 (23 bits)
Octal	0o32065621
Hexadecimal	0x686B91

Divisor Catalog (6)

1 31 961 7,121 220,751 6,843,281

Collatz Trajectory (77 steps to reach 1)

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

6,843,281 20,529,844 10,264,922 5,132,461 15,397,384 7,698,692 3,849,346 1,924,673 5,774,020 2,887,010 1,443,505 4,330,516 2,165,258 1,082,629 3,247,888 1,623,944 811,972 405,986 202,993 608,980 304,490 152,245 456,736 228,368 114,184 57,092 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208

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