24,007,564

2² × 7 × 19 × 45127

24,007,564 factors as 2^2 × 7 × 19 × 45127. Its 24 positive divisors give a proper-divisor sum of 26,535,796, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 45127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 50,543,360

Proper Divisor Sum 26,535,796

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #24007531 ← → #24007567

Radix Representation

Decimal	24007564
Binary	1011011100101001110001100 (25 bits)
Octal	0o133451614
Hexadecimal	0x16E538C

Divisor Catalog (24)

Collatz Trajectory (141 steps to reach 1)

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

24,007,564 12,003,782 6,001,891 18,005,674 9,002,837 27,008,512 13,504,256 6,752,128 3,376,064 1,688,032 844,016 422,008 211,004 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238

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