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Atlas › Integer Profiles › Node 20,152,200

20,152,200

23 × 3 × 52 × 33587
Abundant Even Composite

20,152,200 factors as 2^3 × 3 × 5^2 × 33587. Its 48 positive divisors give a proper-divisor sum of 42,321,480, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 33587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,473,680
Proper Divisor Sum 42,321,480
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #20152199 ← → #20152211

Radix Representation

Decimal 20152200
Binary 1001100110111111110001000 (25 bits)
Octal 0o114677610
Hexadecimal 0x1337F88

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 33,587 67,174 100,761 134,348 167,935 201,522 268,696 335,870 403,044 503,805 671,740 806,088 839,675 1,007,610 1,343,480 1,679,350 2,015,220 2,519,025 3,358,700 4,030,440 5,038,050 6,717,400 10,076,100 20,152,200

Collatz Trajectory (159 steps to reach 1)

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

20,152,200 10,076,100 5,038,050 2,519,025 7,557,076 3,778,538 1,889,269 5,667,808 2,833,904 1,416,952 708,476 354,238 177,119 531,358 265,679 797,038 398,519 1,195,558 597,779 1,793,338 896,669 2,690,008 1,345,004 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383 718,150 359,075 1,077,226 538,613 1,615,840 807,920 403,960 201,980 100,990 50,495 151,486 75,743 227,230 113,615 340,846 170,423 511,270 255,635 766,906

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