λ
Sequence Observatory

9,400,161

3 × 31 × 61 × 1657
Deficient Odd Composite

Starting at 9,400,161, the Collatz iteration reaches 1 after 132 steps. The first transition is 28200484; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 61 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,157,888
Proper Divisor Sum 3,757,727
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9400151 ← → #9400189

Radix Representation

Decimal 9400161
Binary 100011110110111101100001 (24 bits)
Octal 0o43667541
Hexadecimal 0x8F6F61

Divisor Catalog (16)

1 3 31 61 93 183 1,657 1,891 4,971 5,673 51,367 101,077 154,101 303,231 3,133,387 9,400,161

Collatz Trajectory (132 steps to reach 1)

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

9,400,161 28,200,484 14,100,242 7,050,121 21,150,364 10,575,182 5,287,591 15,862,774 7,931,387 23,794,162 11,897,081 35,691,244 17,845,622 8,922,811 26,768,434 13,384,217 40,152,652 20,076,326 10,038,163 30,114,490 15,057,245 45,171,736 22,585,868 11,292,934 5,646,467 16,939,402 8,469,701 25,409,104 12,704,552 6,352,276 3,176,138 1,588,069 4,764,208 2,382,104 1,191,052 595,526 297,763 893,290 446,645 1,339,936 669,968 334,984 167,492 83,746 41,873 125,620 62,810 31,405 94,216 47,108 23,554 11,777 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938

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