λ
Sequence Observatory

4,556,309

109 × 41801
Deficient Odd Composite

Starting at 4,556,309, the Collatz iteration reaches 1 after 180 steps. The first transition is 13668928; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 109 × 41801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,598,220
Proper Divisor Sum 41,911
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4556269 ← → #4556327

Radix Representation

Decimal 4556309
Binary 10001011000011000010101 (23 bits)
Octal 0o21303025
Hexadecimal 0x458615

Divisor Catalog (4)

1 109 41,801 4,556,309

Collatz Trajectory (180 steps to reach 1)

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

4,556,309 13,668,928 6,834,464 3,417,232 1,708,616 854,308 427,154 213,577 640,732 320,366 160,183 480,550 240,275 720,826 360,413 1,081,240 540,620 270,310 135,155 405,466 202,733 608,200 304,100 152,050 76,025 228,076 114,038 57,019 171,058 85,529 256,588 128,294 64,147 192,442 96,221 288,664 144,332 72,166 36,083 108,250 54,125 162,376 81,188 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817

More profiles

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