λ
Sigma Notebook

3,872,721

3 × 1290907
Deficient Odd Composite

3,872,721 is odd and not a perfect square. Its factorization is 3 × 1290907 and its 4 divisors sum to 5,163,632.

Prime Factor Structure

Factorization String 3 × 1290907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,163,632
Proper Divisor Sum 1,290,911
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3872681 ← → #3872731

Radix Representation

Decimal 3872721
Binary 1110110001011111010001 (22 bits)
Octal 0o16613721
Hexadecimal 0x3B17D1

Divisor Catalog (4)

1 3 1,290,907 3,872,721

Collatz Trajectory (216 steps to reach 1)

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

3,872,721 11,618,164 5,809,082 2,904,541 8,713,624 4,356,812 2,178,406 1,089,203 3,267,610 1,633,805 4,901,416 2,450,708 1,225,354 612,677 1,838,032 919,016 459,508 229,754 114,877 344,632 172,316 86,158 43,079 129,238 64,619 193,858 96,929 290,788 145,394 72,697 218,092 109,046 54,523 163,570 81,785 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 8,188 4,094

More profiles

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