24,255,816

2³ × 3 × 13 × 77743

24,255,816 factors as 2^3 × 3 × 13 × 77743. Its 32 positive divisors give a proper-divisor sum of 41,049,144, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 77743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 65,304,960

Proper Divisor Sum 41,049,144

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #24255769 ← → #24255841

Radix Representation

Decimal	24255816
Binary	1011100100001110101001000 (25 bits)
Octal	0o134416510
Hexadecimal	0x1721D48

Divisor Catalog (32)

Collatz Trajectory (185 steps to reach 1)

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

24,255,816 12,127,908 6,063,954 3,031,977 9,095,932 4,547,966 2,273,983 6,821,950 3,410,975 10,232,926 5,116,463 15,349,390 7,674,695 23,024,086 11,512,043 34,536,130 17,268,065 51,804,196 25,902,098 12,951,049 38,853,148 19,426,574 9,713,287 29,139,862 14,569,931 43,709,794 21,854,897 65,564,692 32,782,346 16,391,173 49,173,520 24,586,760 12,293,380 6,146,690 3,073,345 9,220,036 4,610,018 2,305,009 6,915,028 3,457,514 1,728,757 5,186,272 2,593,136 1,296,568 648,284 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844

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