26,327,280

2⁴ × 3 × 5 × 7 × 15671

26,327,280 factors as 2^4 × 3 × 5 × 7 × 15671. Its 80 positive divisors give a proper-divisor sum of 66,952,464, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 15671

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 93,279,744

Proper Divisor Sum 66,952,464

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #26327267 ← → #26327281

Radix Representation

Decimal	26327280
Binary	1100100011011100011110000 (25 bits)
Octal	0o144334360
Hexadecimal	0x191B8F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1,680 15,671 31,342 47,013 62,684 78,355 94,026 109,697 125,368 156,710 188,052 219,394 235,065 250,736 313,420 329,091 376,104 438,788 470,130 548,485 626,840

Collatz Trajectory (172 steps to reach 1)

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

26,327,280 13,163,640 6,581,820 3,290,910 1,645,455 4,936,366 2,468,183 7,404,550 3,702,275 11,106,826 5,553,413 16,660,240 8,330,120 4,165,060 2,082,530 1,041,265 3,123,796 1,561,898 780,949 2,342,848 1,171,424 585,712 292,856 146,428 73,214 36,607 109,822 54,911 164,734 82,367 247,102 123,551 370,654 185,327 555,982 277,991 833,974 416,987 1,250,962 625,481 1,876,444 938,222 469,111 1,407,334 703,667 2,111,002 1,055,501 3,166,504 1,583,252 791,626 395,813 1,187,440 593,720 296,860 148,430 74,215 222,646 111,323 333,970 166,985

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