7,011,789

3 × 47 × 223²

Starting at 7,011,789, the Collatz iteration reaches 1 after 72 steps. The first transition is 21035368; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 223^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,590,976

Proper Divisor Sum 2,579,187

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7011761 ← → #7011799

Radix Representation

Decimal	7011789
Binary	11010101111110111001101 (23 bits)
Octal	0o32576715
Hexadecimal	0x6AFDCD

Divisor Catalog (12)

1 3 47 141 223 669 10,481 31,443 49,729 149,187 2,337,263 7,011,789

Collatz Trajectory (72 steps to reach 1)

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

7,011,789 21,035,368 10,517,684 5,258,842 2,629,421 7,888,264 3,944,132 1,972,066 986,033 2,958,100 1,479,050 739,525 2,218,576 1,109,288 554,644 277,322 138,661 415,984 207,992 103,996 51,998 25,999 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35

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