7,282,309

7282309

Starting at 7,282,309, the Collatz iteration reaches 1 after 160 steps. The first transition is 21846928; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7282309

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,282,310

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7282291 ← → #7282333

Radix Representation

Decimal	7282309
Binary	11011110001111010000101 (23 bits)
Octal	0o33617205
Hexadecimal	0x6F1E85

Divisor Catalog (2)

1 7,282,309

Collatz Trajectory (160 steps to reach 1)

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

7,282,309 21,846,928 10,923,464 5,461,732 2,730,866 1,365,433 4,096,300 2,048,150 1,024,075 3,072,226 1,536,113 4,608,340 2,304,170 1,152,085 3,456,256 1,728,128 864,064 432,032 216,016 108,008 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214

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