24,924,100

2² × 5² × 47 × 5303

24,924,100 factors as 2^2 × 5^2 × 47 × 5303. Its 36 positive divisors give a proper-divisor sum of 30,322,364, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 47 × 5303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 55,246,464

Proper Divisor Sum 30,322,364

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #24924089 ← → #24924103

Radix Representation

Decimal	24924100
Binary	1011111000100111111000100 (25 bits)
Octal	0o137047704
Hexadecimal	0x17C4FC4

Divisor Catalog (36)

Collatz Trajectory (159 steps to reach 1)

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

24,924,100 12,462,050 6,231,025 18,693,076 9,346,538 4,673,269 14,019,808 7,009,904 3,504,952 1,752,476 876,238 438,119 1,314,358 657,179 1,971,538 985,769 2,957,308 1,478,654 739,327 2,217,982 1,108,991 3,326,974 1,663,487 4,990,462 2,495,231 7,485,694 3,742,847 11,228,542 5,614,271 16,842,814 8,421,407 25,264,222 12,632,111 37,896,334 18,948,167 56,844,502 28,422,251 85,266,754 42,633,377 127,900,132 63,950,066 31,975,033 95,925,100 47,962,550 23,981,275 71,943,826 35,971,913 107,915,740 53,957,870 26,978,935 80,936,806 40,468,403 121,405,210 60,702,605 182,107,816 91,053,908 45,526,954 22,763,477 68,290,432 34,145,216

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