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Atlas › Integer Profiles › Node 20,008,287

20,008,287

32 × 13 × 41 × 43 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 41 × 43 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,960,928
Proper Divisor Sum 12,952,641
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20008279 ← → #20008291

Radix Representation

Decimal 20008287
Binary 1001100010100110101011111 (25 bits)
Octal 0o114246537
Hexadecimal 0x1314D5F

Divisor Catalog (48)

1 3 9 13 39 41 43 97 117 123 129 291 369 387 533 559 873 1,261 1,599 1,677 1,763 3,783 3,977 4,171 4,797 5,031 5,289 11,349 11,931 12,513 15,867 22,919 35,793 37,539 51,701 54,223 68,757 155,103 162,669 171,011 206,271 465,309 488,007 513,033 1,539,099 2,223,143 6,669,429 20,008,287

Collatz Trajectory (138 steps to reach 1)

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

20,008,287 60,024,862 30,012,431 90,037,294 45,018,647 135,055,942 67,527,971 202,583,914 101,291,957 303,875,872 151,937,936 75,968,968 37,984,484 18,992,242 9,496,121 28,488,364 14,244,182 7,122,091 21,366,274 10,683,137 32,049,412 16,024,706 8,012,353 24,037,060 12,018,530 6,009,265 18,027,796 9,013,898 4,506,949 13,520,848 6,760,424 3,380,212 1,690,106 845,053 2,535,160 1,267,580 633,790 316,895 950,686 475,343 1,426,030 713,015 2,139,046 1,069,523 3,208,570 1,604,285 4,812,856 2,406,428 1,203,214 601,607 1,804,822 902,411 2,707,234 1,353,617 4,060,852 2,030,426 1,015,213 3,045,640 1,522,820 761,410

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