5,579,838

2 × 3² × 11 × 28181

Starting at 5,579,838, the Collatz iteration reaches 1 after 232 steps. The first transition is 2789919; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 28181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,189,176

Proper Divisor Sum 7,609,338

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5579837 ← → #5579839

Radix Representation

Decimal	5579838
Binary	10101010010010000111110 (23 bits)
Octal	0o25222076
Hexadecimal	0x55243E

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 28,181 56,362 84,543 169,086 253,629 309,991 507,258 619,982 929,973 1,859,946 2,789,919 5,579,838

Collatz Trajectory (232 steps to reach 1)

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

5,579,838 2,789,919 8,369,758 4,184,879 12,554,638 6,277,319 18,831,958 9,415,979 28,247,938 14,123,969 42,371,908 21,185,954 10,592,977 31,778,932 15,889,466 7,944,733 23,834,200 11,917,100 5,958,550 2,979,275 8,937,826 4,468,913 13,406,740 6,703,370 3,351,685 10,055,056 5,027,528 2,513,764 1,256,882 628,441 1,885,324 942,662 471,331 1,413,994 706,997 2,120,992 1,060,496 530,248 265,124 132,562 66,281 198,844 99,422 49,711 149,134 74,567 223,702 111,851 335,554 167,777 503,332 251,666 125,833 377,500 188,750 94,375 283,126 141,563 424,690 212,345

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