9,165,026

2 × 13 × 31 × 83 × 137

Starting at 9,165,026, the Collatz iteration reaches 1 after 57 steps. The first transition is 4582513; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 31 × 83 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,579,648

Proper Divisor Sum 6,414,622

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9165007 ← → #9165041

Radix Representation

Decimal	9165026
Binary	100010111101100011100010 (24 bits)
Octal	0o42754342
Hexadecimal	0x8BD8E2

Divisor Catalog (32)

1 2 13 26 31 62 83 137 166 274 403 806 1,079 1,781 2,158 2,573 3,562 4,247 5,146 8,494 11,371 22,742 33,449 55,211 66,898 110,422 147,823 295,646 352,501 705,002 4,582,513 9,165,026

Collatz Trajectory (57 steps to reach 1)

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

9,165,026 4,582,513 13,747,540 6,873,770 3,436,885 10,310,656 5,155,328 2,577,664 1,288,832 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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