λ
Modular Archive

106,567

61 × 1747
Deficient Odd Composite

The decimal integer 106,567 is 11010000001000111 in binary (17 bits), 320107 in octal and 1A047 in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 61 × 1747
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 108,376
Proper Divisor Sum 1,809
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #106543 ← → #106591

Radix Representation

Decimal 106567
Binary 11010000001000111 (17 bits)
Octal 0o320107
Hexadecimal 0x1A047

Divisor Catalog (4)

1 61 1,747 106,567

Collatz Trajectory (278 steps to reach 1)

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

106,567 319,702 159,851 479,554 239,777 719,332 359,666 179,833 539,500 269,750 134,875 404,626 202,313 606,940 303,470 151,735 455,206 227,603 682,810 341,405 1,024,216 512,108 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908

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