λ
Sequence Observatory

3,635,201

3635201
Deficient Odd Prime

Starting at 3,635,201, the Collatz iteration reaches 1 after 159 steps. The first transition is 10905604; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3635201
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,635,202
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3635197 ← → #3635207

Radix Representation

Decimal 3635201
Binary 1101110111100000000001 (22 bits)
Octal 0o15674001
Hexadecimal 0x377801

Divisor Catalog (2)

1 3,635,201

Collatz Trajectory (159 steps to reach 1)

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

3,635,201 10,905,604 5,452,802 2,726,401 8,179,204 4,089,602 2,044,801 6,134,404 3,067,202 1,533,601 4,600,804 2,300,402 1,150,201 3,450,604 1,725,302 862,651 2,587,954 1,293,977 3,881,932 1,940,966 970,483 2,911,450 1,455,725 4,367,176 2,183,588 1,091,794 545,897 1,637,692 818,846 409,423 1,228,270 614,135 1,842,406 921,203 2,763,610 1,381,805 4,145,416 2,072,708 1,036,354 518,177 1,554,532 777,266 388,633 1,165,900 582,950 291,475 874,426 437,213 1,311,640 655,820 327,910 163,955 491,866 245,933 737,800 368,900 184,450 92,225 276,676 138,338

More profiles

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