λ
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Atlas › Integer Profiles › Node 2,012,192

2,012,192

25 × 7 × 13 × 691
Abundant Even Composite

2,012,192 factors as 2^5 × 7 × 13 × 691. Its 48 positive divisors give a proper-divisor sum of 2,870,560, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,882,752
Proper Divisor Sum 2,870,560
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2012189 ← → #2012203

Radix Representation

Decimal 2012192
Binary 111101011010000100000 (21 bits)
Octal 0o7532040
Hexadecimal 0x1EB420

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 691 728 1,382 1,456 2,764 2,912 4,837 5,528 8,983 9,674 11,056 17,966 19,348 22,112 35,932 38,696 62,881 71,864 77,392 125,762 143,728 154,784 251,524 287,456 503,048 1,006,096 2,012,192

Collatz Trajectory (91 steps to reach 1)

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

2,012,192 1,006,096 503,048 251,524 125,762 62,881 188,644 94,322 47,161 141,484 70,742 35,371 106,114 53,057 159,172 79,586 39,793 119,380 59,690 29,845 89,536 44,768 22,384 11,192 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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