λ
Prime Ledger

3,015,552

27 × 3 × 7853
Abundant Even Composite

3,015,552 has the prime decomposition 2^7 × 3 × 7853. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 7853
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,011,080
Proper Divisor Sum 4,995,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3015539 ← → #3015577

Radix Representation

Decimal 3015552
Binary 1011100000001110000000 (22 bits)
Octal 0o13401600
Hexadecimal 0x2E0380

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7,853 15,706 23,559 31,412 47,118 62,824 94,236 125,648 188,472 251,296 376,944 502,592 753,888 1,005,184 1,507,776 3,015,552

Collatz Trajectory (89 steps to reach 1)

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

3,015,552 1,507,776 753,888 376,944 188,472 94,236 47,118 23,559 70,678 35,339 106,018 53,009 159,028 79,514 39,757 119,272 59,636 29,818 14,909 44,728 22,364 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532

More profiles

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