λ
Sigma Notebook

1,837,137

3 × 61 × 10039
Deficient Odd Composite

1,837,137 is odd and not a perfect square. Its factorization is 3 × 61 × 10039 and its 8 divisors sum to 2,489,920.

Prime Factor Structure

Factorization String 3 × 61 × 10039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,489,920
Proper Divisor Sum 652,783
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1837127 ← → #1837151

Radix Representation

Decimal 1837137
Binary 111000000100001010001 (21 bits)
Octal 0o7004121
Hexadecimal 0x1C0851

Divisor Catalog (8)

1 3 61 183 10,039 30,117 612,379 1,837,137

Collatz Trajectory (233 steps to reach 1)

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

1,837,137 5,511,412 2,755,706 1,377,853 4,133,560 2,066,780 1,033,390 516,695 1,550,086 775,043 2,325,130 1,162,565 3,487,696 1,743,848 871,924 435,962 217,981 653,944 326,972 163,486 81,743 245,230 122,615 367,846 183,923 551,770 275,885 827,656 413,828 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916

More profiles

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