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Atlas › Integer Profiles › Node 24,644,074

24,644,074

2 × 7 × 13 × 43 × 47 × 67
Deficient Even Composite

24,644,074 factors as 2 × 7 × 13 × 43 × 47 × 67. Its 64 positive divisors give a proper-divisor sum of 23,610,902, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 43 × 47 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 48,254,976
Proper Divisor Sum 23,610,902
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #24644047 ← → #24644107

Radix Representation

Decimal 24644074
Binary 1011110000000100111101010 (25 bits)
Octal 0o136004752
Hexadecimal 0x17809EA

Divisor Catalog (60 of 64)

1 2 7 13 14 26 43 47 67 86 91 94 134 182 301 329 469 559 602 611 658 871 938 1,118 1,222 1,742 2,021 2,881 3,149 3,913 4,042 4,277 5,762 6,097 6,298 7,826 8,554 12,194 14,147 20,167 22,043 26,273 28,294 37,453 40,334 40,937 44,086 52,546 74,906 81,874 135,407 183,911 262,171 270,814 286,559 367,822 524,342 573,118 947,849 1,760,291

Collatz Trajectory (154 steps to reach 1)

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

24,644,074 12,322,037 36,966,112 18,483,056 9,241,528 4,620,764 2,310,382 1,155,191 3,465,574 1,732,787 5,198,362 2,599,181 7,797,544 3,898,772 1,949,386 974,693 2,924,080 1,462,040 731,020 365,510 182,755 548,266 274,133 822,400 411,200 205,600 102,800 51,400 25,700 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728

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