λ
Modular Archive

4,201,601

17 × 89 × 2777
Deficient Odd Composite

The decimal integer 4,201,601 is 10000000001110010000001 in binary (23 bits), 20016201 in octal and 401C81 in hexadecimal. Its digit sum is 14.

Prime Factor Structure

Factorization String 17 × 89 × 2777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,500,360
Proper Divisor Sum 298,759
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4201583 ← → #4201621

Radix Representation

Decimal 4201601
Binary 10000000001110010000001 (23 bits)
Octal 0o20016201
Hexadecimal 0x401C81

Divisor Catalog (8)

1 17 89 1,513 2,777 47,209 247,153 4,201,601

Collatz Trajectory (273 steps to reach 1)

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

4,201,601 12,604,804 6,302,402 3,151,201 9,453,604 4,726,802 2,363,401 7,090,204 3,545,102 1,772,551 5,317,654 2,658,827 7,976,482 3,988,241 11,964,724 5,982,362 2,991,181 8,973,544 4,486,772 2,243,386 1,121,693 3,365,080 1,682,540 841,270 420,635 1,261,906 630,953 1,892,860 946,430 473,215 1,419,646 709,823 2,129,470 1,064,735 3,194,206 1,597,103 4,791,310 2,395,655 7,186,966 3,593,483 10,780,450 5,390,225 16,170,676 8,085,338 4,042,669 12,128,008 6,064,004 3,032,002 1,516,001 4,548,004 2,274,002 1,137,001 3,411,004 1,705,502 852,751 2,558,254 1,279,127 3,837,382 1,918,691 5,756,074

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