λ
Integer Codex

1,137,126

2 × 3 × 79 × 2399
Abundant Even Composite

For 1,137,126, the 16 positive divisors have a total of 2,304,000. Removing 1,137,126 leaves 1,166,874, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 2399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,304,000
Proper Divisor Sum 1,166,874
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1137109 ← → #1137137

Radix Representation

Decimal 1137126
Binary 100010101100111100110 (21 bits)
Octal 0o4254746
Hexadecimal 0x1159E6

Divisor Catalog (16)

1 2 3 6 79 158 237 474 2,399 4,798 7,197 14,394 189,521 379,042 568,563 1,137,126

Collatz Trajectory (103 steps to reach 1)

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

1,137,126 568,563 1,705,690 852,845 2,558,536 1,279,268 639,634 319,817 959,452 479,726 239,863 719,590 359,795 1,079,386 539,693 1,619,080 809,540 404,770 202,385 607,156 303,578 151,789 455,368 227,684 113,842 56,921 170,764 85,382 42,691 128,074 64,037 192,112 96,056 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280

More profiles

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