27,352,060

2² × 5 × 23 × 97 × 613

27,352,060 factors as 2^2 × 5 × 23 × 97 × 613. Its 48 positive divisors give a proper-divisor sum of 33,301,316, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 97 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 60,653,376

Proper Divisor Sum 33,301,316

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #27352057 ← → #27352067

Radix Representation

Decimal	27352060
Binary	1101000010101101111111100 (25 bits)
Octal	0o150255774
Hexadecimal	0x1A15BFC

Divisor Catalog (48)

Collatz Trajectory (162 steps to reach 1)

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

27,352,060 13,676,030 6,838,015 20,514,046 10,257,023 30,771,070 15,385,535 46,156,606 23,078,303 69,234,910 34,617,455 103,852,366 51,926,183 155,778,550 77,889,275 233,667,826 116,833,913 350,501,740 175,250,870 87,625,435 262,876,306 131,438,153 394,314,460 197,157,230 98,578,615 295,735,846 147,867,923 443,603,770 221,801,885 665,405,656 332,702,828 166,351,414 83,175,707 249,527,122 124,763,561 374,290,684 187,145,342 93,572,671 280,718,014 140,359,007 421,077,022 210,538,511 631,615,534 315,807,767 947,423,302 473,711,651 1,421,134,954 710,567,477 2,131,702,432 1,065,851,216 532,925,608 266,462,804 133,231,402 66,615,701 199,847,104 99,923,552 49,961,776 24,980,888 12,490,444 6,245,222

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