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Atlas › Integer Profiles › Node 20,112,432

20,112,432

24 × 3 × 61 × 6869
Abundant Even Composite

20,112,432 factors as 2^4 × 3 × 61 × 6869. Its 40 positive divisors give a proper-divisor sum of 32,704,128, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 61 × 6869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 52,816,560
Proper Divisor Sum 32,704,128
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20112413 ← → #20112439

Radix Representation

Decimal 20112432
Binary 1001100101110010000110000 (25 bits)
Octal 0o114562060
Hexadecimal 0x132E430

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1,464 2,928 6,869 13,738 20,607 27,476 41,214 54,952 82,428 109,904 164,856 329,712 419,009 838,018 1,257,027 1,676,036 2,514,054 3,352,072 5,028,108 6,704,144 10,056,216 20,112,432

Collatz Trajectory (133 steps to reach 1)

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

20,112,432 10,056,216 5,028,108 2,514,054 1,257,027 3,771,082 1,885,541 5,656,624 2,828,312 1,414,156 707,078 353,539 1,060,618 530,309 1,590,928 795,464 397,732 198,866 99,433 298,300 149,150 74,575 223,726 111,863 335,590 167,795 503,386 251,693 755,080 377,540 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593

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