λ
Matchaa Zalai

580,729

79 × 7351
Deficient Odd Composite

580,729 factors as 79 × 7351. Its 4 positive divisors give a proper-divisor sum of 7,431, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 79 × 7351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 588,160
Proper Divisor Sum 7,431
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #580717 ← → #580733

Radix Representation

Decimal 580729
Binary 10001101110001111001 (20 bits)
Octal 0o2156171
Hexadecimal 0x8DC79

Divisor Catalog (4)

1 79 7,351 580,729

Collatz Trajectory (177 steps to reach 1)

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

580,729 1,742,188 871,094 435,547 1,306,642 653,321 1,959,964 979,982 489,991 1,469,974 734,987 2,204,962 1,102,481 3,307,444 1,653,722 826,861 2,480,584 1,240,292 620,146 310,073 930,220 465,110 232,555 697,666 348,833 1,046,500 523,250 261,625 784,876 392,438 196,219 588,658 294,329 882,988 441,494 220,747 662,242 331,121 993,364 496,682 248,341 745,024 372,512 186,256 93,128 46,564 23,282 11,641 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103

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