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Atlas › Integer Profiles › Node 29,631,184

29,631,184

24 × 11 × 19 × 8861
Abundant Even Composite

29,631,184 factors as 2^4 × 11 × 19 × 8861. Its 40 positive divisors give a proper-divisor sum of 36,302,096, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 19 × 8861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,933,280
Proper Divisor Sum 36,302,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29631179 ← → #29631193

Radix Representation

Decimal 29631184
Binary 1110001000010001011010000 (25 bits)
Octal 0o161021320
Hexadecimal 0x1C422D0

Divisor Catalog (40)

1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1,672 3,344 8,861 17,722 35,444 70,888 97,471 141,776 168,359 194,942 336,718 389,884 673,436 779,768 1,346,872 1,559,536 1,851,949 2,693,744 3,703,898 7,407,796 14,815,592 29,631,184

Collatz Trajectory (162 steps to reach 1)

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

29,631,184 14,815,592 7,407,796 3,703,898 1,851,949 5,555,848 2,777,924 1,388,962 694,481 2,083,444 1,041,722 520,861 1,562,584 781,292 390,646 195,323 585,970 292,985 878,956 439,478 219,739 659,218 329,609 988,828 494,414 247,207 741,622 370,811 1,112,434 556,217 1,668,652 834,326 417,163 1,251,490 625,745 1,877,236 938,618 469,309 1,407,928 703,964 351,982 175,991 527,974 263,987 791,962 395,981 1,187,944 593,972 296,986 148,493 445,480 222,740 111,370 55,685 167,056 83,528 41,764 20,882 10,441 31,324

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