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Atlas › Integer Profiles › Node 26,200,804

26,200,804

22 × 7 × 29 × 41 × 787
Abundant Even Composite

26,200,804 factors as 2^2 × 7 × 29 × 41 × 787. Its 48 positive divisors give a proper-divisor sum of 29,400,476, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 41 × 787
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,601,280
Proper Divisor Sum 29,400,476
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #26200789 ← → #26200843

Radix Representation

Decimal 26200804
Binary 1100011111100101011100100 (25 bits)
Octal 0o143745344
Hexadecimal 0x18FCAE4

Divisor Catalog (48)

1 2 4 7 14 28 29 41 58 82 116 164 203 287 406 574 787 812 1,148 1,189 1,574 2,378 3,148 4,756 5,509 8,323 11,018 16,646 22,036 22,823 32,267 33,292 45,646 64,534 91,292 129,068 159,761 225,869 319,522 451,738 639,044 903,476 935,743 1,871,486 3,742,972 6,550,201 13,100,402 26,200,804

Collatz Trajectory (74 steps to reach 1)

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

26,200,804 13,100,402 6,550,201 19,650,604 9,825,302 4,912,651 14,737,954 7,368,977 22,106,932 11,053,466 5,526,733 16,580,200 8,290,100 4,145,050 2,072,525 6,217,576 3,108,788 1,554,394 777,197 2,331,592 1,165,796 582,898 291,449 874,348 437,174 218,587 655,762 327,881 983,644 491,822 245,911 737,734 368,867 1,106,602 553,301 1,659,904 829,952 414,976 207,488 103,744 51,872 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22

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