24,253,670

2 × 5 × 7 × 317 × 1093

24,253,670 factors as 2 × 5 × 7 × 317 × 1093. Its 32 positive divisors give a proper-divisor sum of 25,842,778, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 317 × 1093

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 50,096,448

Proper Divisor Sum 25,842,778

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #24253667 ← → #24253721

Radix Representation

Decimal	24253670
Binary	1011100100001010011100110 (25 bits)
Octal	0o134412346
Hexadecimal	0x17214E6

Divisor Catalog (32)

Collatz Trajectory (123 steps to reach 1)

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

24,253,670 12,126,835 36,380,506 18,190,253 54,570,760 27,285,380 13,642,690 6,821,345 20,464,036 10,232,018 5,116,009 15,348,028 7,674,014 3,837,007 11,511,022 5,755,511 17,266,534 8,633,267 25,899,802 12,949,901 38,849,704 19,424,852 9,712,426 4,856,213 14,568,640 7,284,320 3,642,160 1,821,080 910,540 455,270 227,635 682,906 341,453 1,024,360 512,180 256,090 128,045 384,136 192,068 96,034 48,017 144,052 72,026 36,013 108,040 54,020 27,010 13,505 40,516 20,258 10,129 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274

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