7,005,573

3² × 778397

Starting at 7,005,573, the Collatz iteration reaches 1 after 222 steps. The first transition is 21016720; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 778397

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,119,174

Proper Divisor Sum 3,113,601

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7005571 ← → #7005613

Radix Representation

Decimal	7005573
Binary	11010101110010110000101 (23 bits)
Octal	0o32562605
Hexadecimal	0x6AE585

Divisor Catalog (6)

1 3 9 778,397 2,335,191 7,005,573

Collatz Trajectory (222 steps to reach 1)

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

7,005,573 21,016,720 10,508,360 5,254,180 2,627,090 1,313,545 3,940,636 1,970,318 985,159 2,955,478 1,477,739 4,433,218 2,216,609 6,649,828 3,324,914 1,662,457 4,987,372 2,493,686 1,246,843 3,740,530 1,870,265 5,610,796 2,805,398 1,402,699 4,208,098 2,104,049 6,312,148 3,156,074 1,578,037 4,734,112 2,367,056 1,183,528 591,764 295,882 147,941 443,824 221,912 110,956 55,478 27,739 83,218 41,609 124,828 62,414 31,207 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435

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