24,705

3⁴ × 5 × 61

Starting at 24,705, the Collatz iteration reaches 1 after 144 steps. The first transition is 74116; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 45,012

Proper Divisor Sum 20,307

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #24697 ← → #24709

Radix Representation

Decimal	24705
Binary	110000010000001 (15 bits)
Octal	0o60201
Hexadecimal	0x6081

Divisor Catalog (20)

1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1,647 2,745 4,941 8,235 24,705

Collatz Trajectory (144 steps to reach 1)

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

24,705 74,116 37,058 18,529 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 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 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650

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