51,007,374

2 × 3³ × 11 × 43 × 1997

51,007,374 factors as 2 × 3^3 × 11 × 43 × 1997. Its 64 positive divisors give a proper-divisor sum of 75,585,906, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 43 × 1997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 126,593,280

Proper Divisor Sum 75,585,906

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #51007367 ← → #51007379

Radix Representation

Decimal	51007374
Binary	11000010100100111110001110 (26 bits)
Octal	0o302447616
Hexadecimal	0x30A4F8E

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1,161 1,419 1,997 2,322 2,838 3,994 4,257 5,991 8,514 11,982 12,771 17,973 21,967 25,542 35,946 43,934 53,919 65,901 85,871 107,838 131,802 171,742 197,703 257,613 395,406 515,226 593,109 772,839 944,581 1,186,218 1,545,678 1,889,162 2,318,517 2,833,743 4,637,034 5,667,486

Collatz Trajectory (150 steps to reach 1)

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

51,007,374 25,503,687 76,511,062 38,255,531 114,766,594 57,383,297 172,149,892 86,074,946 43,037,473 129,112,420 64,556,210 32,278,105 96,834,316 48,417,158 24,208,579 72,625,738 36,312,869 108,938,608 54,469,304 27,234,652 13,617,326 6,808,663 20,425,990 10,212,995 30,638,986 15,319,493 45,958,480 22,979,240 11,489,620 5,744,810 2,872,405 8,617,216 4,308,608 2,154,304 1,077,152 538,576 269,288 134,644 67,322 33,661 100,984 50,492 25,246 12,623 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926

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