7,166,585

5 × 61 × 23497

Starting at 7,166,585, the Collatz iteration reaches 1 after 129 steps. The first transition is 21499756; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 61 × 23497

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,741,256

Proper Divisor Sum 1,574,671

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7166581 ← → #7166597

Radix Representation

Decimal	7166585
Binary	11011010101101001111001 (23 bits)
Octal	0o33255171
Hexadecimal	0x6D5A79

Divisor Catalog (8)

1 5 61 305 23,497 117,485 1,433,317 7,166,585

Collatz Trajectory (129 steps to reach 1)

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

7,166,585 21,499,756 10,749,878 5,374,939 16,124,818 8,062,409 24,187,228 12,093,614 6,046,807 18,140,422 9,070,211 27,210,634 13,605,317 40,815,952 20,407,976 10,203,988 5,101,994 2,550,997 7,652,992 3,826,496 1,913,248 956,624 478,312 239,156 119,578 59,789 179,368 89,684 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520

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