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2,727,760

24 × 5 × 7 × 4871
Abundant Even Composite

2,727,760 factors as 2^4 × 5 × 7 × 4871. Its 40 positive divisors give a proper-divisor sum of 4,521,776, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 4871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,249,536
Proper Divisor Sum 4,521,776
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2727733 ← → #2727763

Radix Representation

Decimal 2727760
Binary 1010011001111101010000 (22 bits)
Octal 0o12317520
Hexadecimal 0x299F50

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4,871 9,742 19,484 24,355 34,097 38,968 48,710 68,194 77,936 97,420 136,388 170,485 194,840 272,776 340,970 389,680 545,552 681,940 1,363,880 2,727,760

Collatz Trajectory (156 steps to reach 1)

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

2,727,760 1,363,880 681,940 340,970 170,485 511,456 255,728 127,864 63,932 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485

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