57,797,289

3² × 11 × 43 × 13577

57,797,289 factors as 3^2 × 11 × 43 × 13577. Its 24 positive divisors give a proper-divisor sum of 35,402,103, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 43 × 13577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 93,199,392

Proper Divisor Sum 35,402,103

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #57797287 ← → #57797291

Radix Representation

Decimal	57797289
Binary	11011100011110101010101001 (26 bits)
Octal	0o334365251
Hexadecimal	0x371EAA9

Divisor Catalog (24)

Collatz Trajectory (256 steps to reach 1)

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

57,797,289 173,391,868 86,695,934 43,347,967 130,043,902 65,021,951 195,065,854 97,532,927 292,598,782 146,299,391 438,898,174 219,449,087 658,347,262 329,173,631 987,520,894 493,760,447 1,481,281,342 740,640,671 2,221,922,014 1,110,961,007 3,332,883,022 1,666,441,511 4,999,324,534 2,499,662,267 7,498,986,802 3,749,493,401 11,248,480,204 5,624,240,102 2,812,120,051 8,436,360,154 4,218,180,077 12,654,540,232 6,327,270,116 3,163,635,058 1,581,817,529 4,745,452,588 2,372,726,294 1,186,363,147 3,559,089,442 1,779,544,721 5,338,634,164 2,669,317,082 1,334,658,541 4,003,975,624 2,001,987,812 1,000,993,906 500,496,953 1,501,490,860 750,745,430 375,372,715 1,126,118,146 563,059,073 1,689,177,220 844,588,610 422,294,305 1,266,882,916 633,441,458 316,720,729 950,162,188 475,081,094

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,797,288 Browse Full Index Next Integer #57,797,290 →