λ
Sigma Notebook

1,067,117

37 × 151 × 191
Deficient Odd Composite

1,067,117 is odd and not a perfect square. Its factorization is 37 × 151 × 191 and its 8 divisors sum to 1,108,992.

Prime Factor Structure

Factorization String 37 × 151 × 191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,108,992
Proper Divisor Sum 41,875
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1067083 ← → #1067137

Radix Representation

Decimal 1067117
Binary 100000100100001101101 (21 bits)
Octal 0o4044155
Hexadecimal 0x10486D

Divisor Catalog (8)

1 37 151 191 5,587 7,067 28,841 1,067,117

Collatz Trajectory (121 steps to reach 1)

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

1,067,117 3,201,352 1,600,676 800,338 400,169 1,200,508 600,254 300,127 900,382 450,191 1,350,574 675,287 2,025,862 1,012,931 3,038,794 1,519,397 4,558,192 2,279,096 1,139,548 569,774 284,887 854,662 427,331 1,281,994 640,997 1,922,992 961,496 480,748 240,374 120,187 360,562 180,281 540,844 270,422 135,211 405,634 202,817 608,452 304,226 152,113 456,340 228,170 114,085 342,256 171,128 85,564 42,782 21,391 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612

More profiles

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