λ
Ratio Atlas

56,580,523

56580523
Deficient Odd Prime

56,580,523 factors as 56580523. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 56580523
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 56,580,524
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #56580481 ← → #56580547

Radix Representation

Decimal 56580523
Binary 11010111110101100110101011 (26 bits)
Octal 0o327654653
Hexadecimal 0x35F59AB

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

56,580,523 169,741,570 84,870,785 254,612,356 127,306,178 63,653,089 190,959,268 95,479,634 47,739,817 143,219,452 71,609,726 35,804,863 107,414,590 53,707,295 161,121,886 80,560,943 241,682,830 120,841,415 362,524,246 181,262,123 543,786,370 271,893,185 815,679,556 407,839,778 203,919,889 611,759,668 305,879,834 152,939,917 458,819,752 229,409,876 114,704,938 57,352,469 172,057,408 86,028,704 43,014,352 21,507,176 10,753,588 5,376,794 2,688,397 8,065,192 4,032,596 2,016,298 1,008,149 3,024,448 1,512,224 756,112 378,056 189,028 94,514 47,257 141,772 70,886 35,443 106,330 53,165 159,496 79,748 39,874 19,937 59,812

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