λ
Sigma Notebook

9,995,672

23 × 19 × 65761
Deficient Even Composite

9,995,672 is even and not a perfect square. Its factorization is 2^3 × 19 × 65761 and its 16 divisors sum to 19,728,600.

Prime Factor Structure

Factorization String 2^3 × 19 × 65761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,728,600
Proper Divisor Sum 9,732,928
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9995669 ← → #9995683

Radix Representation

Decimal 9995672
Binary 100110001000010110011000 (24 bits)
Octal 0o46102630
Hexadecimal 0x988598

Divisor Catalog (16)

1 2 4 8 19 38 76 152 65,761 131,522 263,044 526,088 1,249,459 2,498,918 4,997,836 9,995,672

Collatz Trajectory (163 steps to reach 1)

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

9,995,672 4,997,836 2,498,918 1,249,459 3,748,378 1,874,189 5,622,568 2,811,284 1,405,642 702,821 2,108,464 1,054,232 527,116 263,558 131,779 395,338 197,669 593,008 296,504 148,252 74,126 37,063 111,190 55,595 166,786 83,393 250,180 125,090 62,545 187,636 93,818 46,909 140,728 70,364 35,182 17,591 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568

More profiles

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