λ
Prime Ledger

6,061,216

25 × 7 × 27059
Abundant Even Composite

6,061,216 has the prime decomposition 2^5 × 7 × 27059. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 27059
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,638,240
Proper Divisor Sum 7,577,024
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6061201 ← → #6061217

Radix Representation

Decimal 6061216
Binary 10111000111110010100000 (23 bits)
Octal 0o27076240
Hexadecimal 0x5C7CA0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 27,059 54,118 108,236 189,413 216,472 378,826 432,944 757,652 865,888 1,515,304 3,030,608 6,061,216

Collatz Trajectory (183 steps to reach 1)

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

6,061,216 3,030,608 1,515,304 757,652 378,826 189,413 568,240 284,120 142,060 71,030 35,515 106,546 53,273 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425

More profiles

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