λ
Modular Archive

9,823,121

7 × 11 × 193 × 661
Deficient Odd Composite

The decimal integer 9,823,121 is 100101011110001110010001 in binary (24 bits), 45361621 in octal and 95E391 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 7 × 11 × 193 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,329,088
Proper Divisor Sum 2,505,967
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9823117 ← → #9823129

Radix Representation

Decimal 9823121
Binary 100101011110001110010001 (24 bits)
Octal 0o45361621
Hexadecimal 0x95E391

Divisor Catalog (16)

1 7 11 77 193 661 1,351 2,123 4,627 7,271 14,861 50,897 127,573 893,011 1,403,303 9,823,121

Collatz Trajectory (132 steps to reach 1)

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

9,823,121 29,469,364 14,734,682 7,367,341 22,102,024 11,051,012 5,525,506 2,762,753 8,288,260 4,144,130 2,072,065 6,216,196 3,108,098 1,554,049 4,662,148 2,331,074 1,165,537 3,496,612 1,748,306 874,153 2,622,460 1,311,230 655,615 1,966,846 983,423 2,950,270 1,475,135 4,425,406 2,212,703 6,638,110 3,319,055 9,957,166 4,978,583 14,935,750 7,467,875 22,403,626 11,201,813 33,605,440 16,802,720 8,401,360 4,200,680 2,100,340 1,050,170 525,085 1,575,256 787,628 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303

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