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Atlas › Integer Profiles › Node 29,183,184

29,183,184

24 × 32 × 202661
Abundant Even Composite

29,183,184 factors as 2^4 × 3^2 × 202661. Its 30 positive divisors give a proper-divisor sum of 52,489,602, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 202661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 81,672,786
Proper Divisor Sum 52,489,602
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #29183179 ← → #29183191

Radix Representation

Decimal 29183184
Binary 1101111010100110011010000 (25 bits)
Octal 0o157246320
Hexadecimal 0x1BD4CD0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 202,661 405,322 607,983 810,644 1,215,966 1,621,288 1,823,949 2,431,932 3,242,576 3,647,898 4,863,864 7,295,796 9,727,728 14,591,592 29,183,184

Collatz Trajectory (61 steps to reach 1)

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

29,183,184 14,591,592 7,295,796 3,647,898 1,823,949 5,471,848 2,735,924 1,367,962 683,981 2,051,944 1,025,972 512,986 256,493 769,480 384,740 192,370 96,185 288,556 144,278 72,139 216,418 108,209 324,628 162,314 81,157 243,472 121,736 60,868 30,434 15,217 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4

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