9,110,094

2 × 3 × 7 × 31 × 6997

Starting at 9,110,094, the Collatz iteration reaches 1 after 362 steps. The first transition is 4555047; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 6997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,497,856

Proper Divisor Sum 12,387,762

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9110071 ← → #9110119

Radix Representation

Decimal	9110094
Binary	100010110000001001001110 (24 bits)
Octal	0o42601116
Hexadecimal	0x8B024E

Divisor Catalog (32)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1,302 6,997 13,994 20,991 41,982 48,979 97,958 146,937 216,907 293,874 433,814 650,721 1,301,442 1,518,349 3,036,698 4,555,047 9,110,094

Collatz Trajectory (362 steps to reach 1)

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

9,110,094 4,555,047 13,665,142 6,832,571 20,497,714 10,248,857 30,746,572 15,373,286 7,686,643 23,059,930 11,529,965 34,589,896 17,294,948 8,647,474 4,323,737 12,971,212 6,485,606 3,242,803 9,728,410 4,864,205 14,592,616 7,296,308 3,648,154 1,824,077 5,472,232 2,736,116 1,368,058 684,029 2,052,088 1,026,044 513,022 256,511 769,534 384,767 1,154,302 577,151 1,731,454 865,727 2,597,182 1,298,591 3,895,774 1,947,887 5,843,662 2,921,831 8,765,494 4,382,747 13,148,242 6,574,121 19,722,364 9,861,182 4,930,591 14,791,774 7,395,887 22,187,662 11,093,831 33,281,494 16,640,747 49,922,242 24,961,121 74,883,364

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