λ
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Atlas › Integer Profiles › Node 18,924,604

18,924,604

22 × 17 × 53 × 59 × 89
Deficient Even Composite

18,924,604 factors as 2^2 × 17 × 53 × 59 × 89. Its 48 positive divisors give a proper-divisor sum of 17,816,996, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 53 × 59 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,741,600
Proper Divisor Sum 17,816,996
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18924599 ← → #18924611

Radix Representation

Decimal 18924604
Binary 1001000001100010000111100 (25 bits)
Octal 0o110142074
Hexadecimal 0x120C43C

Divisor Catalog (48)

1 2 4 17 34 53 59 68 89 106 118 178 212 236 356 901 1,003 1,513 1,802 2,006 3,026 3,127 3,604 4,012 4,717 5,251 6,052 6,254 9,434 10,502 12,508 18,868 21,004 53,159 80,189 89,267 106,318 160,378 178,534 212,636 278,303 320,756 357,068 556,606 1,113,212 4,731,151 9,462,302 18,924,604

Collatz Trajectory (125 steps to reach 1)

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

18,924,604 9,462,302 4,731,151 14,193,454 7,096,727 21,290,182 10,645,091 31,935,274 15,967,637 47,902,912 23,951,456 11,975,728 5,987,864 2,993,932 1,496,966 748,483 2,245,450 1,122,725 3,368,176 1,684,088 842,044 421,022 210,511 631,534 315,767 947,302 473,651 1,420,954 710,477 2,131,432 1,065,716 532,858 266,429 799,288 399,644 199,822 99,911 299,734 149,867 449,602 224,801 674,404 337,202 168,601 505,804 252,902 126,451 379,354 189,677 569,032 284,516 142,258 71,129 213,388 106,694 53,347 160,042 80,021 240,064 120,032

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