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Atlas › Integer Profiles › Node 20,040,156

20,040,156

22 × 33 × 185557
Abundant Even Composite

20,040,156 factors as 2^2 × 3^3 × 185557. Its 24 positive divisors give a proper-divisor sum of 31,916,084, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 185557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 51,956,240
Proper Divisor Sum 31,916,084
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20040151 ← → #20040173

Radix Representation

Decimal 20040156
Binary 1001100011100100111011100 (25 bits)
Octal 0o114344734
Hexadecimal 0x131C9DC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 185,557 371,114 556,671 742,228 1,113,342 1,670,013 2,226,684 3,340,026 5,010,039 6,680,052 10,020,078 20,040,156

Collatz Trajectory (190 steps to reach 1)

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

20,040,156 10,020,078 5,010,039 15,030,118 7,515,059 22,545,178 11,272,589 33,817,768 16,908,884 8,454,442 4,227,221 12,681,664 6,340,832 3,170,416 1,585,208 792,604 396,302 198,151 594,454 297,227 891,682 445,841 1,337,524 668,762 334,381 1,003,144 501,572 250,786 125,393 376,180 188,090 94,045 282,136 141,068 70,534 35,267 105,802 52,901 158,704 79,352 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120

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