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Atlas › Integer Profiles › Node 26,201,210

26,201,210

2 × 5 × 7 × 29 × 12907
Abundant Even Composite

26,201,210 factors as 2 × 5 × 7 × 29 × 12907. Its 32 positive divisors give a proper-divisor sum of 29,561,350, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 29 × 12907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,762,560
Proper Divisor Sum 29,561,350
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #26201207 ← → #26201213

Radix Representation

Decimal 26201210
Binary 1100011111100110001111010 (25 bits)
Octal 0o143746172
Hexadecimal 0x18FCC7A

Divisor Catalog (32)

1 2 5 7 10 14 29 35 58 70 145 203 290 406 1,015 2,030 12,907 25,814 64,535 90,349 129,070 180,698 374,303 451,745 748,606 903,490 1,871,515 2,620,121 3,743,030 5,240,242 13,100,605 26,201,210

Collatz Trajectory (149 steps to reach 1)

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

26,201,210 13,100,605 39,301,816 19,650,908 9,825,454 4,912,727 14,738,182 7,369,091 22,107,274 11,053,637 33,160,912 16,580,456 8,290,228 4,145,114 2,072,557 6,217,672 3,108,836 1,554,418 777,209 2,331,628 1,165,814 582,907 1,748,722 874,361 2,623,084 1,311,542 655,771 1,967,314 983,657 2,950,972 1,475,486 737,743 2,213,230 1,106,615 3,319,846 1,659,923 4,979,770 2,489,885 7,469,656 3,734,828 1,867,414 933,707 2,801,122 1,400,561 4,201,684 2,100,842 1,050,421 3,151,264 1,575,632 787,816 393,908 196,954 98,477 295,432 147,716 73,858 36,929 110,788 55,394 27,697

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