26,589,172

2² × 29 × 229217

26,589,172 factors as 2^2 × 29 × 229217. Its 12 positive divisors give a proper-divisor sum of 21,546,608, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 229217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,135,780

Proper Divisor Sum 21,546,608

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #26589161 ← → #26589181

Radix Representation

Decimal	26589172
Binary	1100101011011011111110100 (25 bits)
Octal	0o145333764
Hexadecimal	0x195B7F4

Divisor Catalog (12)

1 2 4 29 58 116 229,217 458,434 916,868 6,647,293 13,294,586 26,589,172

Collatz Trajectory (255 steps to reach 1)

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

26,589,172 13,294,586 6,647,293 19,941,880 9,970,940 4,985,470 2,492,735 7,478,206 3,739,103 11,217,310 5,608,655 16,825,966 8,412,983 25,238,950 12,619,475 37,858,426 18,929,213 56,787,640 28,393,820 14,196,910 7,098,455 21,295,366 10,647,683 31,943,050 15,971,525 47,914,576 23,957,288 11,978,644 5,989,322 2,994,661 8,983,984 4,491,992 2,245,996 1,122,998 561,499 1,684,498 842,249 2,526,748 1,263,374 631,687 1,895,062 947,531 2,842,594 1,421,297 4,263,892 2,131,946 1,065,973 3,197,920 1,598,960 799,480 399,740 199,870 99,935 299,806 149,903 449,710 224,855 674,566 337,283 1,011,850

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