λ
Sequence Observatory

5,161,171

409 × 12619
Deficient Odd Composite

Starting at 5,161,171, the Collatz iteration reaches 1 after 100 steps. The first transition is 15483514; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 409 × 12619
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,174,200
Proper Divisor Sum 13,029
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5161139 ← → #5161181

Radix Representation

Decimal 5161171
Binary 10011101100000011010011 (23 bits)
Octal 0o23540323
Hexadecimal 0x4EC0D3

Divisor Catalog (4)

1 409 12,619 5,161,171

Collatz Trajectory (100 steps to reach 1)

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

5,161,171 15,483,514 7,741,757 23,225,272 11,612,636 5,806,318 2,903,159 8,709,478 4,354,739 13,064,218 6,532,109 19,596,328 9,798,164 4,899,082 2,449,541 7,348,624 3,674,312 1,837,156 918,578 459,289 1,377,868 688,934 344,467 1,033,402 516,701 1,550,104 775,052 387,526 193,763 581,290 290,645 871,936 435,968 217,984 108,992 54,496 27,248 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910

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