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Atlas › Integer Profiles › Node 57,764,691

57,764,691

33 × 17 × 317 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 17 × 317 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,126,080
Proper Divisor Sum 33,361,389
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57764689 ← → #57764701

Radix Representation

Decimal 57764691
Binary 11011100010110101101010011 (26 bits)
Octal 0o334265523
Hexadecimal 0x3716B53

Divisor Catalog (32)

1 3 9 17 27 51 153 317 397 459 951 1,191 2,853 3,573 5,389 6,749 8,559 10,719 16,167 20,247 48,501 60,741 125,849 145,503 182,223 377,547 1,132,641 2,139,433 3,397,923 6,418,299 19,254,897 57,764,691

Collatz Trajectory (313 steps to reach 1)

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

57,764,691 173,294,074 86,647,037 259,941,112 129,970,556 64,985,278 32,492,639 97,477,918 48,738,959 146,216,878 73,108,439 219,325,318 109,662,659 328,987,978 164,493,989 493,481,968 246,740,984 123,370,492 61,685,246 30,842,623 92,527,870 46,263,935 138,791,806 69,395,903 208,187,710 104,093,855 312,281,566 156,140,783 468,422,350 234,211,175 702,633,526 351,316,763 1,053,950,290 526,975,145 1,580,925,436 790,462,718 395,231,359 1,185,694,078 592,847,039 1,778,541,118 889,270,559 2,667,811,678 1,333,905,839 4,001,717,518 2,000,858,759 6,002,576,278 3,001,288,139 9,003,864,418 4,501,932,209 13,505,796,628 6,752,898,314 3,376,449,157 10,129,347,472 5,064,673,736 2,532,336,868 1,266,168,434 633,084,217 1,899,252,652 949,626,326 474,813,163

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