λ
Sigma Notebook

1,135,937

11 × 37 × 2791
Deficient Odd Composite

1,135,937 is odd and not a perfect square. Its factorization is 11 × 37 × 2791 and its 8 divisors sum to 1,273,152.

Prime Factor Structure

Factorization String 11 × 37 × 2791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,273,152
Proper Divisor Sum 137,215
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1135921 ← → #1135951

Radix Representation

Decimal 1135937
Binary 100010101010101000001 (21 bits)
Octal 0o4252501
Hexadecimal 0x115541

Divisor Catalog (8)

1 11 37 407 2,791 30,701 103,267 1,135,937

Collatz Trajectory (315 steps to reach 1)

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

1,135,937 3,407,812 1,703,906 851,953 2,555,860 1,277,930 638,965 1,916,896 958,448 479,224 239,612 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854 4,918,427 14,755,282 7,377,641 22,132,924 11,066,462 5,533,231 16,599,694 8,299,847 24,899,542 12,449,771 37,349,314 18,674,657 56,023,972

More profiles

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