λ
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2,158,136

23 × 23 × 37 × 317
Abundant Even Composite

2,158,136 factors as 2^3 × 23 × 37 × 317. Its 32 positive divisors give a proper-divisor sum of 2,192,104, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 37 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,350,240
Proper Divisor Sum 2,192,104
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2158129 ← → #2158139

Radix Representation

Decimal 2158136
Binary 1000001110111000111000 (22 bits)
Octal 0o10167070
Hexadecimal 0x20EE38

Divisor Catalog (32)

1 2 4 8 23 37 46 74 92 148 184 296 317 634 851 1,268 1,702 2,536 3,404 6,808 7,291 11,729 14,582 23,458 29,164 46,916 58,328 93,832 269,767 539,534 1,079,068 2,158,136

Collatz Trajectory (73 steps to reach 1)

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

2,158,136 1,079,068 539,534 269,767 809,302 404,651 1,213,954 606,977 1,820,932 910,466 455,233 1,365,700 682,850 341,425 1,024,276 512,138 256,069 768,208 384,104 192,052 96,026 48,013 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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