23,975,728

2⁴ × 7 × 214069

23,975,728 factors as 2^4 × 7 × 214069. Its 20 positive divisors give a proper-divisor sum of 29,113,632, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 214069

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 53,089,360

Proper Divisor Sum 29,113,632

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #23975723 ← → #23975737

Radix Representation

Decimal	23975728
Binary	1011011011101011100110000 (25 bits)
Octal	0o133353460
Hexadecimal	0x16DD730

Divisor Catalog (20)

Collatz Trajectory (115 steps to reach 1)

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

23,975,728 11,987,864 5,993,932 2,996,966 1,498,483 4,495,450 2,247,725 6,743,176 3,371,588 1,685,794 842,897 2,528,692 1,264,346 632,173 1,896,520 948,260 474,130 237,065 711,196 355,598 177,799 533,398 266,699 800,098 400,049 1,200,148 600,074 300,037 900,112 450,056 225,028 112,514 56,257 168,772 84,386 42,193 126,580 63,290 31,645 94,936 47,468 23,734 11,867 35,602 17,801 53,404 26,702 13,351 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348

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