λ
Sigma Notebook

1,095,089

17 × 37 × 1741
Deficient Odd Composite

1,095,089 is odd and not a perfect square. Its factorization is 17 × 37 × 1741 and its 8 divisors sum to 1,191,528.

Prime Factor Structure

Factorization String 17 × 37 × 1741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,191,528
Proper Divisor Sum 96,439
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1095071 ← → #1095091

Radix Representation

Decimal 1095089
Binary 100001011010110110001 (21 bits)
Octal 0o4132661
Hexadecimal 0x10B5B1

Divisor Catalog (8)

1 17 37 629 1,741 29,597 64,417 1,095,089

Collatz Trajectory (59 steps to reach 1)

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

1,095,089 3,285,268 1,642,634 821,317 2,463,952 1,231,976 615,988 307,994 153,997 461,992 230,996 115,498 57,749 173,248 86,624 43,312 21,656 10,828 5,414 2,707 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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