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Atlas › Integer Profiles › Node 24,200,094

24,200,094

2 × 3 × 23 × 29 × 6047
Abundant Even Composite

24,200,094 factors as 2 × 3 × 23 × 29 × 6047. Its 32 positive divisors give a proper-divisor sum of 28,054,626, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 29 × 6047
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,254,720
Proper Divisor Sum 28,054,626
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #24200093 ← → #24200101

Radix Representation

Decimal 24200094
Binary 1011100010100001110011110 (25 bits)
Octal 0o134241636
Hexadecimal 0x171439E

Divisor Catalog (32)

1 2 3 6 23 29 46 58 69 87 138 174 667 1,334 2,001 4,002 6,047 12,094 18,141 36,282 139,081 175,363 278,162 350,726 417,243 526,089 834,486 1,052,178 4,033,349 8,066,698 12,100,047 24,200,094

Collatz Trajectory (185 steps to reach 1)

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

24,200,094 12,100,047 36,300,142 18,150,071 54,450,214 27,225,107 81,675,322 40,837,661 122,512,984 61,256,492 30,628,246 15,314,123 45,942,370 22,971,185 68,913,556 34,456,778 17,228,389 51,685,168 25,842,584 12,921,292 6,460,646 3,230,323 9,690,970 4,845,485 14,536,456 7,268,228 3,634,114 1,817,057 5,451,172 2,725,586 1,362,793 4,088,380 2,044,190 1,022,095 3,066,286 1,533,143 4,599,430 2,299,715 6,899,146 3,449,573 10,348,720 5,174,360 2,587,180 1,293,590 646,795 1,940,386 970,193 2,910,580 1,455,290 727,645 2,182,936 1,091,468 545,734 272,867 818,602 409,301 1,227,904 613,952 306,976 153,488

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