9,313,085

5 × 37 × 50341

Starting at 9,313,085, the Collatz iteration reaches 1 after 163 steps. The first transition is 27939256; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 50341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,477,976

Proper Divisor Sum 2,164,891

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9313079 ← → #9313099

Radix Representation

Decimal	9313085
Binary	100011100001101100111101 (24 bits)
Octal	0o43415475
Hexadecimal	0x8E1B3D

Divisor Catalog (8)

1 5 37 185 50,341 251,705 1,862,617 9,313,085

Collatz Trajectory (163 steps to reach 1)

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

9,313,085 27,939,256 13,969,628 6,984,814 3,492,407 10,477,222 5,238,611 15,715,834 7,857,917 23,573,752 11,786,876 5,893,438 2,946,719 8,840,158 4,420,079 13,260,238 6,630,119 19,890,358 9,945,179 29,835,538 14,917,769 44,753,308 22,376,654 11,188,327 33,564,982 16,782,491 50,347,474 25,173,737 75,521,212 37,760,606 18,880,303 56,640,910 28,320,455 84,961,366 42,480,683 127,442,050 63,721,025 191,163,076 95,581,538 47,790,769 143,372,308 71,686,154 35,843,077 107,529,232 53,764,616 26,882,308 13,441,154 6,720,577 20,161,732 10,080,866 5,040,433 15,121,300 7,560,650 3,780,325 11,340,976 5,670,488 2,835,244 1,417,622 708,811 2,126,434

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