λ
Sigma Notebook

1,055,395

5 × 11 × 31 × 619
Deficient Odd Composite

1,055,395 is odd and not a perfect square. Its factorization is 5 × 11 × 31 × 619 and its 16 divisors sum to 1,428,480.

Prime Factor Structure

Factorization String 5 × 11 × 31 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,428,480
Proper Divisor Sum 373,085
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1055387 ← → #1055399

Radix Representation

Decimal 1055395
Binary 100000001101010100011 (21 bits)
Octal 0o4015243
Hexadecimal 0x101AA3

Divisor Catalog (16)

1 5 11 31 55 155 341 619 1,705 3,095 6,809 19,189 34,045 95,945 211,079 1,055,395

Collatz Trajectory (165 steps to reach 1)

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

1,055,395 3,166,186 1,583,093 4,749,280 2,374,640 1,187,320 593,660 296,830 148,415 445,246 222,623 667,870 333,935 1,001,806 500,903 1,502,710 751,355 2,254,066 1,127,033 3,381,100 1,690,550 845,275 2,535,826 1,267,913 3,803,740 1,901,870 950,935 2,852,806 1,426,403 4,279,210 2,139,605 6,418,816 3,209,408 1,604,704 802,352 401,176 200,588 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31

More profiles

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