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Atlas › Integer Profiles › Node 25,683,030

25,683,030

2 × 32 × 5 × 139 × 2053
Abundant Even Composite

25,683,030 factors as 2 × 3^2 × 5 × 139 × 2053. Its 48 positive divisors give a proper-divisor sum of 41,606,010, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 139 × 2053
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,289,040
Proper Divisor Sum 41,606,010
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #25683029 ← → #25683071

Radix Representation

Decimal 25683030
Binary 1100001111110010001010110 (25 bits)
Octal 0o141762126
Hexadecimal 0x187E456

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1,251 1,390 2,053 2,085 2,502 4,106 4,170 6,159 6,255 10,265 12,318 12,510 18,477 20,530 30,795 36,954 61,590 92,385 184,770 285,367 570,734 856,101 1,426,835 1,712,202 2,568,303 2,853,670 4,280,505 5,136,606 8,561,010 12,841,515 25,683,030

Collatz Trajectory (242 steps to reach 1)

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

25,683,030 12,841,515 38,524,546 19,262,273 57,786,820 28,893,410 14,446,705 43,340,116 21,670,058 10,835,029 32,505,088 16,252,544 8,126,272 4,063,136 2,031,568 1,015,784 507,892 253,946 126,973 380,920 190,460 95,230 47,615 142,846 71,423 214,270 107,135 321,406 160,703 482,110 241,055 723,166 361,583 1,084,750 542,375 1,627,126 813,563 2,440,690 1,220,345 3,661,036 1,830,518 915,259 2,745,778 1,372,889 4,118,668 2,059,334 1,029,667 3,089,002 1,544,501 4,633,504 2,316,752 1,158,376 579,188 289,594 144,797 434,392 217,196 108,598 54,299 162,898

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