λ
Math Directory

1,654,201

1654201
Deficient Odd Prime

1,654,201 factors as 1654201. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 1654201
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,654,202
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1654199 ← → #1654217

Radix Representation

Decimal 1654201
Binary 110010011110110111001 (21 bits)
Octal 0o6236671
Hexadecimal 0x193DB9

Divisor Catalog (2)

Collatz Trajectory (145 steps to reach 1)

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

1,654,201 4,962,604 2,481,302 1,240,651 3,721,954 1,860,977 5,582,932 2,791,466 1,395,733 4,187,200 2,093,600 1,046,800 523,400 261,700 130,850 65,425 196,276 98,138 49,069 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963

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