λ
Harmonic Matrix

6,048,018

2 × 32 × 277 × 1213
Abundant Even Composite

6,048,018 has digital root 9. The neighboring primes are 6048013 and 6048067; its proper-divisor sum differs from the starting integer by 1,066,152.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,162,188
Proper Divisor Sum 7,114,170
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6048013 ← → #6048067

Radix Representation

Decimal 6048018
Binary 10111000100100100010010 (23 bits)
Octal 0o27044422
Hexadecimal 0x5C4912

Divisor Catalog (24)

1 2 3 6 9 18 277 554 831 1,213 1,662 2,426 2,493 3,639 4,986 7,278 10,917 21,834 336,001 672,002 1,008,003 2,016,006 3,024,009 6,048,018

Collatz Trajectory (258 steps to reach 1)

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

6,048,018 3,024,009 9,072,028 4,536,014 2,268,007 6,804,022 3,402,011 10,206,034 5,103,017 15,309,052 7,654,526 3,827,263 11,481,790 5,740,895 17,222,686 8,611,343 25,834,030 12,917,015 38,751,046 19,375,523 58,126,570 29,063,285 87,189,856 43,594,928 21,797,464 10,898,732 5,449,366 2,724,683 8,174,050 4,087,025 12,261,076 6,130,538 3,065,269 9,195,808 4,597,904 2,298,952 1,149,476 574,738 287,369 862,108 431,054 215,527 646,582 323,291 969,874 484,937 1,454,812 727,406 363,703 1,091,110 545,555 1,636,666 818,333 2,455,000 1,227,500 613,750 306,875 920,626 460,313 1,380,940

More profiles

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