λ
Sigma Notebook

1,088,737

13 × 89 × 941
Deficient Odd Composite

1,088,737 is odd and not a perfect square. Its factorization is 13 × 89 × 941 and its 8 divisors sum to 1,186,920.

Prime Factor Structure

Factorization String 13 × 89 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,186,920
Proper Divisor Sum 98,183
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1088723 ← → #1088749

Radix Representation

Decimal 1088737
Binary 100001001110011100001 (21 bits)
Octal 0o4116341
Hexadecimal 0x109CE1

Divisor Catalog (8)

1 13 89 941 1,157 12,233 83,749 1,088,737

Collatz Trajectory (121 steps to reach 1)

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

1,088,737 3,266,212 1,633,106 816,553 2,449,660 1,224,830 612,415 1,837,246 918,623 2,755,870 1,377,935 4,133,806 2,066,903 6,200,710 3,100,355 9,301,066 4,650,533 13,951,600 6,975,800 3,487,900 1,743,950 871,975 2,615,926 1,307,963 3,923,890 1,961,945 5,885,836 2,942,918 1,471,459 4,414,378 2,207,189 6,621,568 3,310,784 1,655,392 827,696 413,848 206,924 103,462 51,731 155,194 77,597 232,792 116,396 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435

More profiles

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