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Atlas › Integer Profiles › Node 51,149,025

51,149,025

32 × 52 × 281 × 809
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 281 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 92,053,260
Proper Divisor Sum 40,904,235
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51149023 ← → #51149027

Radix Representation

Decimal 51149025
Binary 11000011000111100011100001 (26 bits)
Octal 0o303074341
Hexadecimal 0x30C78E1

Divisor Catalog (36)

1 3 5 9 15 25 45 75 225 281 809 843 1,405 2,427 2,529 4,045 4,215 7,025 7,281 12,135 12,645 20,225 21,075 36,405 60,675 63,225 182,025 227,329 681,987 1,136,645 2,045,961 3,409,935 5,683,225 10,229,805 17,049,675 51,149,025

Collatz Trajectory (168 steps to reach 1)

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

51,149,025 153,447,076 76,723,538 38,361,769 115,085,308 57,542,654 28,771,327 86,313,982 43,156,991 129,470,974 64,735,487 194,206,462 97,103,231 291,309,694 145,654,847 436,964,542 218,482,271 655,446,814 327,723,407 983,170,222 491,585,111 1,474,755,334 737,377,667 2,212,133,002 1,106,066,501 3,318,199,504 1,659,099,752 829,549,876 414,774,938 207,387,469 622,162,408 311,081,204 155,540,602 77,770,301 233,310,904 116,655,452 58,327,726 29,163,863 87,491,590 43,745,795 131,237,386 65,618,693 196,856,080 98,428,040 49,214,020 24,607,010 12,303,505 36,910,516 18,455,258 9,227,629 27,682,888 13,841,444 6,920,722 3,460,361 10,381,084 5,190,542 2,595,271 7,785,814 3,892,907 11,678,722

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