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Atlas › Integer Profiles › Node 25,596,010

25,596,010

2 × 5 × 11 × 23 × 67 × 151
Abundant Even Composite

25,596,010 factors as 2 × 5 × 11 × 23 × 67 × 151. Its 64 positive divisors give a proper-divisor sum of 27,985,814, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 23 × 67 × 151
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 53,581,824
Proper Divisor Sum 27,985,814
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #25596007 ← → #25596023

Radix Representation

Decimal 25596010
Binary 1100001101001000001101010 (25 bits)
Octal 0o141510152
Hexadecimal 0x186906A

Divisor Catalog (60 of 64)

1 2 5 10 11 22 23 46 55 67 110 115 134 151 230 253 302 335 506 670 737 755 1,265 1,474 1,510 1,541 1,661 2,530 3,082 3,322 3,473 3,685 6,946 7,370 7,705 8,305 10,117 15,410 16,610 16,951 17,365 20,234 33,902 34,730 38,203 50,585 76,406 84,755 101,170 111,287 169,510 191,015 222,574 232,691 382,030 465,382 556,435 1,112,870 1,163,455 2,326,910

Collatz Trajectory (167 steps to reach 1)

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

25,596,010 12,798,005 38,394,016 19,197,008 9,598,504 4,799,252 2,399,626 1,199,813 3,599,440 1,799,720 899,860 449,930 224,965 674,896 337,448 168,724 84,362 42,181 126,544 63,272 31,636 15,818 7,909 23,728 11,864 5,932 2,966 1,483 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

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