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Atlas › Integer Profiles › Node 89,134,164

89,134,164

22 × 32 × 7 × 41 × 8627
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 41 × 8627
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 263,809,728
Proper Divisor Sum 174,675,564
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #89134159 ← → #89134169

Radix Representation

Decimal 89134164
Binary 101010100000001010001010100 (27 bits)
Octal 0o524012124
Hexadecimal 0x5501454

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1,148 1,476 1,722 2,583 3,444 5,166 8,627 10,332 17,254 25,881 34,508 51,762 60,389 77,643 103,524 120,778 155,286 181,167 241,556 310,572 353,707 362,334 543,501 707,414 724,668 1,061,121 1,087,002 1,414,828 2,122,242 2,174,004 2,475,949

Collatz Trajectory (81 steps to reach 1)

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

89,134,164 44,567,082 22,283,541 66,850,624 33,425,312 16,712,656 8,356,328 4,178,164 2,089,082 1,044,541 3,133,624 1,566,812 783,406 391,703 1,175,110 587,555 1,762,666 881,333 2,644,000 1,322,000 661,000 330,500 165,250 82,625 247,876 123,938 61,969 185,908 92,954 46,477 139,432 69,716 34,858 17,429 52,288 26,144 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74

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