λ
Ratio Atlas

84,530,558

2 × 7 × 1709 × 3533
Deficient Even Composite

84,530,558 factors as 2 × 7 × 1709 × 3533. Its 16 positive divisors give a proper-divisor sum of 60,504,802, so this integer is deficient. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 2 × 7 × 1709 × 3533
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 145,035,360
Proper Divisor Sum 60,504,802
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #84530513 ← → #84530587

Radix Representation

Decimal 84530558
Binary 101000010011101010101111110 (27 bits)
Octal 0o502352576
Hexadecimal 0x509D57E

Divisor Catalog (16)

Collatz Trajectory (267 steps to reach 1)

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

84,530,558 42,265,279 126,795,838 63,397,919 190,193,758 95,096,879 285,290,638 142,645,319 427,935,958 213,967,979 641,903,938 320,951,969 962,855,908 481,427,954 240,713,977 722,141,932 361,070,966 180,535,483 541,606,450 270,803,225 812,409,676 406,204,838 203,102,419 609,307,258 304,653,629 913,960,888 456,980,444 228,490,222 114,245,111 342,735,334 171,367,667 514,103,002 257,051,501 771,154,504 385,577,252 192,788,626 96,394,313 289,182,940 144,591,470 72,295,735 216,887,206 108,443,603 325,330,810 162,665,405 487,996,216 243,998,108 121,999,054 60,999,527 182,998,582 91,499,291 274,497,874 137,248,937 411,746,812 205,873,406 102,936,703 308,810,110 154,405,055 463,215,166 231,607,583 694,822,750

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