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Atlas › Integer Profiles › Node 26,257,122

26,257,122

2 × 39 × 23 × 29
Abundant Even Composite

26,257,122 factors as 2 × 3^9 × 23 × 29. Its 80 positive divisors give a proper-divisor sum of 37,514,718, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 3^9 × 23 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 63,771,840
Proper Divisor Sum 37,514,718
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26257117 ← → #26257141

Radix Representation

Decimal 26257122
Binary 1100100001010011011100010 (25 bits)
Octal 0o144123342
Hexadecimal 0x190A6E2

Divisor Catalog (60 of 80)

1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 243 261 414 486 522 621 667 729 783 1,242 1,334 1,458 1,566 1,863 2,001 2,187 2,349 3,726 4,002 4,374 4,698 5,589 6,003 6,561 7,047 11,178 12,006 13,122 14,094 16,767 18,009 19,683 21,141 33,534 36,018 39,366 42,282 50,301 54,027 63,423 100,602

Collatz Trajectory (242 steps to reach 1)

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

26,257,122 13,128,561 39,385,684 19,692,842 9,846,421 29,539,264 14,769,632 7,384,816 3,692,408 1,846,204 923,102 461,551 1,384,654 692,327 2,076,982 1,038,491 3,115,474 1,557,737 4,673,212 2,336,606 1,168,303 3,504,910 1,752,455 5,257,366 2,628,683 7,886,050 3,943,025 11,829,076 5,914,538 2,957,269 8,871,808 4,435,904 2,217,952 1,108,976 554,488 277,244 138,622 69,311 207,934 103,967 311,902 155,951 467,854 233,927 701,782 350,891 1,052,674 526,337 1,579,012 789,506 394,753 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537

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