26,972,790

2 × 3 × 5 × 13 × 23 × 31 × 97

26,972,790 factors as 2 × 3 × 5 × 13 × 23 × 31 × 97. Its 128 positive divisors give a proper-divisor sum of 48,893,322, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 23 × 31 × 97

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 75,866,112

Proper Divisor Sum 48,893,322

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #26972789 ← → #26972807

Radix Representation

Decimal	26972790
Binary	1100110111001001001110110 (25 bits)
Octal	0o146711166
Hexadecimal	0x19B9276

Divisor Catalog (60 of 128)

1 2 3 5 6 10 13 15 23 26 30 31 39 46 62 65 69 78 93 97 115 130 138 155 186 194 195 230 291 299 310 345 390 403 465 485 582 598 690 713 806 897 930 970 1,209 1,261 1,426 1,455 1,495 1,794 2,015 2,139 2,231 2,418 2,522 2,910 2,990 3,007 3,565 3,783

Collatz Trajectory (180 steps to reach 1)

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

26,972,790 13,486,395 40,459,186 20,229,593 60,688,780 30,344,390 15,172,195 45,516,586 22,758,293 68,274,880 34,137,440 17,068,720 8,534,360 4,267,180 2,133,590 1,066,795 3,200,386 1,600,193 4,800,580 2,400,290 1,200,145 3,600,436 1,800,218 900,109 2,700,328 1,350,164 675,082 337,541 1,012,624 506,312 253,156 126,578 63,289 189,868 94,934 47,467 142,402 71,201 213,604 106,802 53,401 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516

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