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Atlas › Integer Profiles › Node 25,750,010

25,750,010

2 × 5 × 112 × 13 × 1637
Abundant Even Composite

25,750,010 factors as 2 × 5 × 11^2 × 13 × 1637. Its 48 positive divisors give a proper-divisor sum of 29,149,198, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 13 × 1637
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,899,208
Proper Divisor Sum 29,149,198
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #25750007 ← → #25750013

Radix Representation

Decimal 25750010
Binary 1100010001110100111111010 (25 bits)
Octal 0o142164772
Hexadecimal 0x188E9FA

Divisor Catalog (48)

1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1,210 1,430 1,573 1,637 3,146 3,274 7,865 8,185 15,730 16,370 18,007 21,281 36,014 42,562 90,035 106,405 180,070 198,077 212,810 234,091 396,154 468,182 990,385 1,170,455 1,980,770 2,340,910 2,575,001 5,150,002 12,875,005 25,750,010

Collatz Trajectory (123 steps to reach 1)

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

25,750,010 12,875,005 38,625,016 19,312,508 9,656,254 4,828,127 14,484,382 7,242,191 21,726,574 10,863,287 32,589,862 16,294,931 48,884,794 24,442,397 73,327,192 36,663,596 18,331,798 9,165,899 27,497,698 13,748,849 41,246,548 20,623,274 10,311,637 30,934,912 15,467,456 7,733,728 3,866,864 1,933,432 966,716 483,358 241,679 725,038 362,519 1,087,558 543,779 1,631,338 815,669 2,447,008 1,223,504 611,752 305,876 152,938 76,469 229,408 114,704 57,352 28,676 14,338 7,169 21,508 10,754 5,377 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538

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