27,292,480

2⁶ × 5 × 17 × 29 × 173

27,292,480 factors as 2^6 × 5 × 17 × 29 × 173. Its 112 positive divisors give a proper-divisor sum of 44,305,040, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 29 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 71,597,520

Proper Divisor Sum 44,305,040

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27292469 ← → #27292483

Radix Representation

Decimal	27292480
Binary	1101000000111001101000000 (25 bits)
Octal	0o150071500
Hexadecimal	0x1A07340

Divisor Catalog (60 of 112)

1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 173 232 272 290 320 340 346 464 493 544 580 680 692 865 928 986 1,088 1,160 1,360 1,384 1,730 1,856 1,972 2,320 2,465 2,720 2,768 2,941 3,460 3,944 4,640 4,930 5,017 5,440 5,536 5,882 6,920

Collatz Trajectory (105 steps to reach 1)

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

27,292,480 13,646,240 6,823,120 3,411,560 1,705,780 852,890 426,445 1,279,336 639,668 319,834 159,917 479,752 239,876 119,938 59,969 179,908 89,954 44,977 134,932 67,466 33,733 101,200 50,600 25,300 12,650 6,325 18,976 9,488 4,744 2,372 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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