λ
Prime Ledger

2,723,052

22 × 3 × 37 × 6133
Abundant Even Composite

2,723,052 has the prime decomposition 2^2 × 3 × 37 × 6133. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 6133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,526,576
Proper Divisor Sum 3,803,524
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2723047 ← → #2723057

Radix Representation

Decimal 2723052
Binary 1010011000110011101100 (22 bits)
Octal 0o12306354
Hexadecimal 0x298CEC

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 6,133 12,266 18,399 24,532 36,798 73,596 226,921 453,842 680,763 907,684 1,361,526 2,723,052

Collatz Trajectory (187 steps to reach 1)

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

2,723,052 1,361,526 680,763 2,042,290 1,021,145 3,063,436 1,531,718 765,859 2,297,578 1,148,789 3,446,368 1,723,184 861,592 430,796 215,398 107,699 323,098 161,549 484,648 242,324 121,162 60,581 181,744 90,872 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879

More profiles

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