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Atlas › Integer Profiles › Node 25,757,930

25,757,930

2 × 5 × 11 × 23 × 10181
Abundant Even Composite

25,757,930 factors as 2 × 5 × 11 × 23 × 10181. Its 32 positive divisors give a proper-divisor sum of 27,025,558, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 23 × 10181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,783,488
Proper Divisor Sum 27,025,558
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #25757909 ← → #25757933

Radix Representation

Decimal 25757930
Binary 1100010010000100011101010 (25 bits)
Octal 0o142204352
Hexadecimal 0x18908EA

Divisor Catalog (32)

1 2 5 10 11 22 23 46 55 110 115 230 253 506 1,265 2,530 10,181 20,362 50,905 101,810 111,991 223,982 234,163 468,326 559,955 1,119,910 1,170,815 2,341,630 2,575,793 5,151,586 12,878,965 25,757,930

Collatz Trajectory (242 steps to reach 1)

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

25,757,930 12,878,965 38,636,896 19,318,448 9,659,224 4,829,612 2,414,806 1,207,403 3,622,210 1,811,105 5,433,316 2,716,658 1,358,329 4,074,988 2,037,494 1,018,747 3,056,242 1,528,121 4,584,364 2,292,182 1,146,091 3,438,274 1,719,137 5,157,412 2,578,706 1,289,353 3,868,060 1,934,030 967,015 2,901,046 1,450,523 4,351,570 2,175,785 6,527,356 3,263,678 1,631,839 4,895,518 2,447,759 7,343,278 3,671,639 11,014,918 5,507,459 16,522,378 8,261,189 24,783,568 12,391,784 6,195,892 3,097,946 1,548,973 4,646,920 2,323,460 1,161,730 580,865 1,742,596 871,298 435,649 1,306,948 653,474 326,737 980,212

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