23,967,016

2³ × 1709 × 1753

23,967,016 factors as 2^3 × 1709 × 1753. Its 16 positive divisors give a proper-divisor sum of 21,023,084, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 1709 × 1753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 44,990,100

Proper Divisor Sum 21,023,084

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #23967011 ← → #23967017

Radix Representation

Decimal	23967016
Binary	1011011011011010100101000 (25 bits)
Octal	0o133332450
Hexadecimal	0x16DB528

Divisor Catalog (16)

1 2 4 8 1,709 1,753 3,418 3,506 6,836 7,012 13,672 14,024 2,995,877 5,991,754 11,983,508 23,967,016

Collatz Trajectory (79 steps to reach 1)

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

23,967,016 11,983,508 5,991,754 2,995,877 8,987,632 4,493,816 2,246,908 1,123,454 561,727 1,685,182 842,591 2,527,774 1,263,887 3,791,662 1,895,831 5,687,494 2,843,747 8,531,242 4,265,621 12,796,864 6,398,432 3,199,216 1,599,608 799,804 399,902 199,951 599,854 299,927 899,782 449,891 1,349,674 674,837 2,024,512 1,012,256 506,128 253,064 126,532 63,266 31,633 94,900 47,450 23,725 71,176 35,588 17,794 8,897 26,692 13,346 6,673 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704

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