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Atlas › Integer Profiles › Node 57,764,223

57,764,223

32 × 11 × 53 × 101 × 109
Deficient Odd Composite

57,764,223 factors as 3^2 × 11 × 53 × 101 × 109. Its 48 positive divisors give a proper-divisor sum of 36,753,057, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 53 × 101 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 94,517,280
Proper Divisor Sum 36,753,057
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57764221 ← → #57764227

Radix Representation

Decimal 57764223
Binary 11011100010110100101111111 (26 bits)
Octal 0o334264577
Hexadecimal 0x371697F

Divisor Catalog (48)

1 3 9 11 33 53 99 101 109 159 303 327 477 583 909 981 1,111 1,199 1,749 3,333 3,597 5,247 5,353 5,777 9,999 10,791 11,009 16,059 17,331 33,027 48,177 51,993 58,883 63,547 99,081 121,099 176,649 190,641 363,297 529,947 571,923 583,477 1,089,891 1,750,431 5,251,293 6,418,247 19,254,741 57,764,223

Collatz Trajectory (207 steps to reach 1)

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

57,764,223 173,292,670 86,646,335 259,939,006 129,969,503 389,908,510 194,954,255 584,862,766 292,431,383 877,294,150 438,647,075 1,315,941,226 657,970,613 1,973,911,840 986,955,920 493,477,960 246,738,980 123,369,490 61,684,745 185,054,236 92,527,118 46,263,559 138,790,678 69,395,339 208,186,018 104,093,009 312,279,028 156,139,514 78,069,757 234,209,272 117,104,636 58,552,318 29,276,159 87,828,478 43,914,239 131,742,718 65,871,359 197,614,078 98,807,039 296,421,118 148,210,559 444,631,678 222,315,839 666,947,518 333,473,759 1,000,421,278 500,210,639 1,500,631,918 750,315,959 2,250,947,878 1,125,473,939 3,376,421,818 1,688,210,909 5,064,632,728 2,532,316,364 1,266,158,182 633,079,091 1,899,237,274 949,618,637 2,848,855,912

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