λ
Sigma Notebook

1,111,337

23 × 211 × 229
Deficient Odd Composite

1,111,337 is odd and not a perfect square. Its factorization is 23 × 211 × 229 and its 8 divisors sum to 1,170,240.

Prime Factor Structure

Factorization String 23 × 211 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,170,240
Proper Divisor Sum 58,903
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1111333 ← → #1111339

Radix Representation

Decimal 1111337
Binary 100001111010100101001 (21 bits)
Octal 0o4172451
Hexadecimal 0x10F529

Divisor Catalog (8)

1 23 211 229 4,853 5,267 48,319 1,111,337

Collatz Trajectory (209 steps to reach 1)

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

1,111,337 3,334,012 1,667,006 833,503 2,500,510 1,250,255 3,750,766 1,875,383 5,626,150 2,813,075 8,439,226 4,219,613 12,658,840 6,329,420 3,164,710 1,582,355 4,747,066 2,373,533 7,120,600 3,560,300 1,780,150 890,075 2,670,226 1,335,113 4,005,340 2,002,670 1,001,335 3,004,006 1,502,003 4,506,010 2,253,005 6,759,016 3,379,508 1,689,754 844,877 2,534,632 1,267,316 633,658 316,829 950,488 475,244 237,622 118,811 356,434 178,217 534,652 267,326 133,663 400,990 200,495 601,486 300,743 902,230 451,115 1,353,346 676,673 2,030,020 1,015,010 507,505 1,522,516

More profiles

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