λ
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2,256,138

2 × 32 × 17 × 73 × 101
Abundant Even Composite

2,256,138 factors as 2 × 3^2 × 17 × 73 × 101. Its 48 positive divisors give a proper-divisor sum of 3,042,558, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 73 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,298,696
Proper Divisor Sum 3,042,558
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2256131 ← → #2256169

Radix Representation

Decimal 2256138
Binary 1000100110110100001010 (22 bits)
Octal 0o10466412
Hexadecimal 0x226D0A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 73 101 102 146 153 202 219 303 306 438 606 657 909 1,241 1,314 1,717 1,818 2,482 3,434 3,723 5,151 7,373 7,446 10,302 11,169 14,746 15,453 22,119 22,338 30,906 44,238 66,357 125,341 132,714 250,682 376,023 752,046 1,128,069 2,256,138

Collatz Trajectory (86 steps to reach 1)

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

2,256,138 1,128,069 3,384,208 1,692,104 846,052 423,026 211,513 634,540 317,270 158,635 475,906 237,953 713,860 356,930 178,465 535,396 267,698 133,849 401,548 200,774 100,387 301,162 150,581 451,744 225,872 112,936 56,468 28,234 14,117 42,352 21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67

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