λ
Sequence Observatory

4,588,162

2 × 71 × 79 × 409
Deficient Even Composite

Starting at 4,588,162, the Collatz iteration reaches 1 after 149 steps. The first transition is 2294081; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 71 × 79 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,084,800
Proper Divisor Sum 2,496,638
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4588159 ← → #4588193

Radix Representation

Decimal 4588162
Binary 10001100000001010000010 (23 bits)
Octal 0o21401202
Hexadecimal 0x460282

Divisor Catalog (16)

1 2 71 79 142 158 409 818 5,609 11,218 29,039 32,311 58,078 64,622 2,294,081 4,588,162

Collatz Trajectory (149 steps to reach 1)

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

4,588,162 2,294,081 6,882,244 3,441,122 1,720,561 5,161,684 2,580,842 1,290,421 3,871,264 1,935,632 967,816 483,908 241,954 120,977 362,932 181,466 90,733 272,200 136,100 68,050 34,025 102,076 51,038 25,519 76,558 38,279 114,838 57,419 172,258 86,129 258,388 129,194 64,597 193,792 96,896 48,448 24,224 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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